Boy, someone is bitter about Google's success. And by someone, I mean rMBA more than I mean Microsoft.
Google Chrome does not monitor anything. I can't make that any clearer. Chrome does not send your browsing history to Google. At all.
You are correct that Chrome doesn't send your browser history to Google
But google search does (optional), do a search in google, click on the search preferences option, then scroll to the bottom
I find it useful as it auto shows previous searches when I start typing something
This is true, but that happens in any browser, it can easily be turned off, and I think Bing does the same thing if you log into your Microsoft account.