You need a 3rd party app that plays mp3s (or the format you choose) and get Drive to open the file in the other app and play it there. Drive doesn't have a media player of any kind. On the computer it uses the included media players.
Phone Drive (for example) opens music imported from Drive. A search of the app store should show a bunch of file managers that play video/audio and then you use the "open in..." function.