Google Music works on iOS thanks to its web-based player
Even though the web-based Google Music player is built using Adobe Flash technology, it seems like Mobile Safari is able to run it just fine. The first and most important thing that you need to do is to get yourself an invitation to a beta account, kind of like when Gmail launched back in 2004. After you do that, you should be able to upload your favorite tunes from your computer to Google's cloud. Once that is finished, open Mobile Safari and navigate to Google Music's home page where you will be able to log in using your Google account. That's it! As soon as you log in, the web-based Google Music player will show up and you will be able to use it even when Mobile Safari is minimized. Just remember to use two fingers when scrolling through the playlist, and that the audio controls in the iOS multitasking tray work too.
Bear in mind that the web-based player lags a bit when navigating, but having it running to some extent is definitely better than not being able to use it at all. Feel free to give it a try and let us know how it works for you by dropping a comment for us below.
To request your Google Music from the service's home page - click here.
source: CNET via Redmond Pie