Discover Music is available within the Android app. You can pick from all of our Soundtracks and Playlists within the player app (version 35) without having to open a browser.
To access the Discover Music section from the now playing screen, click the down arrow in the top left corner. Then pick the Soundtrack or Playlist you want to play.
If you want to disable the Discover Music feature from the application and only have the content saved to Your Music available, you can do so under the account settings.