Here's how you can download the Google Play Music app free for Android devices.
1. Go to the Google Play page for the free app Google Play Music.
2. Tap the Install button.
Here's a description of Google Play Music:
"The Google Play Music app lets you listen to your music collection anywhere. All your music is stored online, so no need to worry about syncing or storage space.
* Music purchases from Google Play automatically appear in the app.
* Add up to 20,000 more songs from your personal music collection on your computer for free.
* Access your entire music library instantly with the Google Play Music app, and save your favorites for offline playback.
* Share a free full play of the songs you purchase from Google Play with your friends on Google+."