It took a while, but YouTube Music on the iPad finally gets YouTube Music's revamped Now Playing design. The cover art is no longer edge-to-edge, but you still get the song/video switcher at the top with the Cast next to the Cast option. The overflow menu is accessible from the top-right corner. It has thumbs up and down options flanking the cover art, song name, and title. At the bottom, you have the controls for playing and pausing the music, back and following buttons, and the shuffle and repeat options.
It doesn't get the Android tablet's two-column design, which can show you the queue next to the controls. 9to5Google noted a bug with the cover art taking up the entire screen when you rotate from the portrait orientation. So, if you're experiencing that, then you know what's happening.