Google Music launched to the public this week, as you probably know by now. The company has now launched the Google Music App for Google TV.

“The app syncs with your Google Music account in the cloud, so there is no need to stream from a computer or download songs to the TV,” explains Google TV Product Manager Jurek Foryciarz. “Simply download the Google Music app for Google TV from Android Market, login with your account, and enjoy your entire music library through your HDTV and home theater system.”

“Google Music for Google TV plays in the background while you enjoy other apps on your Google TV,” adds Foryciarz.”You can add a custom soundtrack to slideshows from the Photos app, you can enjoy your favorite tunes while surfing the web, or you can just add some mood music while you peruse the latest news headlines, all from the comfort of your couch.”

Google says to sign up for Googe Music from your computer, and upload all of your music. Then you can enjoy it all from the television.

More details on Google Music, from the live event where it was announced can be found here. Google has an official blog posts talking about it here as well (including this video).

More on the lukewarm reaction to Google Music here.