Sorry about the quality of the pictures; I didn't find the trick until late at night. There just wasn't enough light to shoot better photos.
My trick involves first entering the Google eBookstore, then going to the Help pages. When you're on the first Help page, look at the links across the top. The one labeled Books will take you to books.google.com, and that is one of Google's home pages. You can jump from books.google.com to Google.com by clicking on the "Web" link at the top. And once you're on Google's home page, you can search for a site and go just about anywhere.
The web browser doesn't have an address bar, but it does have some basic features (previous page, next page, refresh, cancel). You can access them by pressing the options button.
I'd recommend searching for a site called Kinstant. That's a site that hosts webpages designed to work as start pages for the Kindle. The Story HD needs the help.
BTW, if you let the Story HD go to sleep, it will kick you out of the browser. So don't let it sit too long.
This isn't all that useful of a feature, but finding it was a neat trick.