How how notify you unread message just beside the address bar where you type the address of any site. Something feature like this in your browser.
This is possible with a Google Chrome extension called Google Mail Checker. Google Mail Checker displays the number of unread messages in your Google Mail inbox just beside the address bar. Also you can click on the button to open your inbox to check those unread message which means that you need not again go address bar and type gmail.com.
Its also automatically updates itself as you check your mails from time to time.
Google Mail Checker – A Google Chrome extension can be downloaded from here.
Let me know if you are struck ed in between because many users are having problem in installing Google Chrome Extensions.

A good notification bar which puts out the need of having a desktop version of Gtalk, or a separate tab with Gmail for any notification of a new mail.