Forget the browser. Google Buzz Desktop is very similar to the iPhone version. A colorful interface which will show the events taking place on your Google Buzz. It's updated each two minuts so you'll be always up to date.
The look & feel of Google Buzz desktop is really good. Its interface is colorful and eye-catching, inspired in the the logo of the Google service.
The application is run appart from the web browser and requires Adobe Air - Don't worry, Adobe Air will be installed in case you don't have it.
If you are getting in the world of the new Google service, Google Buzz Desktop will give your desktop a collorful note and you'll receive updated information automatically.