I was thinking about this just the other day. I was wondering why Google doesn't remove the browser chrome from their apps. I have a spreadsheet that I saved to my iPad and look at daily. It doesn't need browser chrome.
The more I thought about it, the more I realized that you almost have to have the browser chrome. If your app has any links outside of your app, there would be no way to get back. This isn't a problem in native apps because external webpages are opened (typically) in modal windows or an external browser.