Was there a "My Music" button at the bottom of the screen? Once you go to My Music the Apple Music screen should not come back. If the iPad has frozen on the Apple Music screen try quitting the Music app then reset the iPad. Finally try the Music app again.
To quit an app double click the Home button to reveal the app switcher. Flick up on the page preview of the app you want to quit. The page preview will fly away and disappear. That quits the app. Then reset the iPad Press and hold both the Home button and the Sleep/Wake button continuously until the Apple logo appears. Then release the button and let the device restart. You will not lose data doing this. It's like a computer reboot.