After some brief googling, I was unable to find out a way to export playlists from Google Play Music, so I just figured it out for myself.
In order to do this, your Android device must be rooted, otherwise you won't have access to the music database file where the playlists are stored.
If you don't have an Android device, there's a chance you could use the android emulator from the Android SDK. You'd have to find an .apk file for the Google...
