Oh, another nice thing about the new google browser is that you can search your history. (Unlike firefox/internet explorer that merely save your history.) So, if you found a site, but can't remember which one, you can find it far more quickly than trying to re-google it.
I do have concerns about privacy. They say there is an "incongneto" mode, where nothing in that particular tab will be logged, but how many people will forget to turn it on? I predict a LOT of surprised wives and children who will go to the home screen and see some very questionable "most visited" sites pop up