Accessing Gmail Password from Android Device Remotely
If i get a new phone and restore android, will the gmail app appear with the accounts logged on?


When you log in on your new phone using some account, only this account will be present on this device. To read mail from other accounts, you will need to sign in to those accounts as well.


  Is there a way for me to find out the password?


When you log in, your password is sent to Google servers, and they check if provided password is correct. If authentication passes, the server returns session token and no password is being stored on your phone. So no, there is no way to find out the password.