The Google phone project is called Android. To get a Google phone you need to obtain service through T-Mobile, you can visit the official T-Mobile Google Phone site to obtain yours.

The web browser is cool, just like on your computer, wherever you are with your G1. The browser integrates with other applications and features on your phone. Click on a phone number from a website, and your phone will dial it. Save images from the web as wallpaper, etc.

By the way, you can also get Google Search, Maps, Gmail, YouTube and other Google products on your mobile phone on the Google Mobile page.