Q:

implementing simple rxDart with Bloc don't get result

from this link on my web server as
http://instamaker.ir/api/v1/getPersons
i'm trying to get result and printing avatar from that result, unfortunately my implementation with rxDart and Bloc don't get result from this response and i don't get any error
server response this simplified result:
{
  "active": 1,
  "name": "my name",
  "email": " 3 ",
  "loginType": " 3 ",
  "mobile_number": " 3 ",

  ...

  "api_token": "1yK3PvAsBA6r",
  "created_at": "2019-02-12 19:06:34",
  "updated_at": "2019-02-12 19:06:34"
}

main.dart file: (click on button to get result from server)
StreamBuilder(
  stream: bloc.login,
  builder: (context,
      AsyncSnapshot<UserInfo>
      snapshot) {
    if (snapshot.hasData) {
      parseResponse(snapshot);
    }
  },
);
void parseResponse(AsyncSnapshot<UserInfo> snapshot) {
  debugPrint(snapshot.data.avatar);
}

LoginBlock class:
class LoginBlock{
  final _repository = Repository();
  final _login_fetcher = PublishSubject<UserInfo>();

  Observable<UserInfo> get login=>_login_fetcher.stream;

  fetchLogin() async{
    UserInfo userInfo = await _repository.userInfo();
    _login_fetcher.sink.add(userInfo);
  }

  dispose(){
    _login_fetcher.close();
  }
}

final bloc = LoginBlock();

Repository class:
class Repository {
  final userInformation = InstagramApiProviders();

  Future<UserInfo> userInfo() => userInformation.checkUserLogin();
}

my model: 
class UserInfo {
  int _active;
  String _name;
  ...

  UserInfo.fromJsonMap(Map<String, dynamic> map)
      : _active = map["active"],
        _name = map["name"],
        ...

  Map<String, dynamic> toJson() {
    final Map<String, dynamic> data = new Map<String, dynamic>();
    data['active'] = _active;
    data['name'] = _name;
    ...

    return data;
  }

  //GETTERS
}

BaseUrl class:
class BaseUrl {
  static const url = 'http://instamaker.ir';
}

and then InstagramApiProviders class:
class InstagramApiProviders {
  Client client = Client();

  Future<UserInfo> checkUserLogin() async {
    final response = await client.get(BaseUrl.url+'/api/v1/getPersons');
    print("entered  "+BaseUrl.url+'/api/v1/getPersons');
    if (response.statusCode == 200) {
      return UserInfo.fromJsonMap(json.decode(response.body));
    } else
      throw Exception('Failed to load');
  }
}

A:

Well the answer here is part of the test that I make to get this done.  I can put my all test here but I think that the problem cause was because as StreamBuilder is a widget his builder method callback is only called when the widget is in flutter widget tree.  As in your sample you're just creating a StreamBuilder the builder method will never be called bacause this widget isn't in widget tree. 
As advice first test your code changing only UI layer... do somenthing like:
@override
  Widget build(BuildContext context) {

    return Scaffold(
      appBar: AppBar(
        actions: <Widget>[
          IconButton(icon: Icon(Icons.assessment), onPressed: () => loginBlock.fetchLogin()),
        ],
      ),
      body: StreamBuilder<UserInfo>(
        stream: loginBlock.login,
        builder: (context, snapshot){
          if (snapshot.hasData){
            parseResponse(snapshot);
            return Text('user: ${snapshot.data.name} ');
          }
          if (snapshot.hasError)
            return Text('${snapshot.error}');
          else return Text('There is no data');
        },
      ),
    );

Here we're putting the StreamBuilder in widget tree so the builder callback is called and maybe you will see the results.  If it fails, please comment that I update my answer with my full test code with this working. 
Updating the answer with sources that I made tests. 
Basic model
class UserInfo {
  int _active;
  String name;

  UserInfo.fromJsonMap(Map<String, dynamic> map) {
    _active = map["active"];
    name = map["name"];
  }

  Map<String, dynamic> toJson() => {
    'active' : _active,
    'name' : name,
  };
} 

The provider class
class InstagramApiProviders {
  Future<UserInfo> checkUserLogin() async {

    UserInfo info;

    try {
      http. Response resp = await http.get("http://instamaker.ir/api/v1/getPersons");
      if (resp.statusCode == 200){
        print('get response');
        print( resp.body );
        info = UserInfo.fromJsonMap(  Map.from(  json.decode(resp.body ) ));
      }
    }
    catch (ex) {
      throw ex;
    }
    print('returning $info');
    return info;
  }
}

Repository
class Repository {
  final userInformation = InstagramApiProviders();
  Future<UserInfo> userInfo() => userInformation.checkUserLogin().then((user) => user);
}

BLoC class
class LoginBlock{
  final _repository = Repository();
  final _login_fetcher = PublishSubject<UserInfo>();

  Observable<UserInfo> get login=>_login_fetcher.stream;

  fetchLogin() async {
    UserInfo info = await _repository.userInfo();
      _login_fetcher.sink.add(info);
  }

  dispose(){
    _login_fetcher.close();
  }
}

Widget UI
This starts showing There is no data message but when you hit appBar button wait a little and then the data is fetched and updates the UI. 
class WidgetToShowData extends StatelessWidget {

  final LoginBlock bloc = LoginBlock();

  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(
        actions: <Widget>[
          IconButton(icon: Icon(Icons.assessment), onPressed: () => loginBlock.fetchLogin()),
        ],
      ),
      body: StreamBuilder<UserInfo>(
        stream: loginBlock.login,
        builder: (context, snapshot){
          if (snapshot.hasData){
            parseResponse(snapshot);
            return Text('user: ${snapshot.data.name} ');
          }
          if (snapshot.hasError)
            return Text('${snapshot.error}');
          else return Text('There is no data');
        },
      ),
    );
  }

  void parseResponse(AsyncSnapshot<UserInfo> snapshot) {
    debugPrint(snapshot.data.name);
  }
}

