I'm not 100% sure I followed your question, but my understanding is that you want to determine some of the information about the user that's just logged into your API client. You can get email addresses by requesting the https://www.googleapis.com/auth/userinfo.email
scope and running a oauth2/userinfo GET request:
gapi.client.oauth2.userinfo.get().execute(function(resp,raw)...
Depending on which scopes you have access too, you will also get a display name and some other info. Best bet is just to console.log(resp)
and pick out what you want to use.