I wouldn't have a clue whether it would be possible to do this via the web client but if you use either Windows Mail, or Outlook, you can configure your account settings to send and recieve Gmail emails using standard pop and smtp configurations (I've done it).
It's also possible using various other clients but I've never tried. If you wanted to do it this way, all the answers you need are here;
Configuring other mail clients - Gmail Help
Christy