The E-mail address people use to send you mail need not be the same one you use to check your mail. So when you check your E-mail, you must check your mail at this account. For Private E-Mail , the POP account is given in your setup instructions. It will be of the form vsxxxx-mail . Now just connect to the Internet using your local Internet Provider, and check your mail.
Mail is retrieved using POP protocol.
In order to receive e-mail, you need to have a POP account. Mail is sent using an SMTP server. You can send e-mail with an SMTP server even if you don't have a POP account. You can check your e-mail with a POP account whether or not you have an SMTP server. They are completely separate.