I'm not familiar with Google's books and their ebook app, but maybe you don't really need it:
Some free books reside in the cloud, like Amazon's, for example. But there are many other sources that allow you to download the book file and read it locally.
Check out Gutenberg, plus most online booksellers (other than Amazon) make public-domain books available for free.
There's also an online forum here on MobileRead with many other sources.
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