If you've ever been wondering how some online communications models work online, this is a great site to start looking around. I would caution you, however, from relying on any of these sites for critical work. Sites are going out of business right and left and you don't want to be left in trouble. Search the state of New York Supreme Court dockets. Dockets can be searched by party's name, case identifier, and county venue.
Notifications can include court appearances, judge changes, the filing of notes, etc.
Now this DOES cost. You can receive materials by fax, mail, or next-day delivery. The site also says the range of counties will be expanded in the future. Clicking on news gives you a separate page with more news links. This is a good way to organize information and an exciting beginning.