A long time coming, but glad to see this finally arrive. Google music has become my default player of later after the recent redesign. I had been primarily using it as a back up for my music library, but after a HD crash and Apple iTunes Match not able to move countries, I began using it more often and am quite enjoying it.
The iOS app is a great addition, even without the ability to purchase music. One feature that seems to be missing though is ability to easily switch between local and online tracks. Even after turning the phone into flight mode, all of the online track still show up in the library, making it near impossible to figure out what has been downloaded to the phone.