I have had the same experience, and the same feelings as mdewater. Aside from a few niggles, the interface is wonderful, and though Spotify had improved somewhat in that regard recently, it remained green on black, which is never going to look great.
But the biggest thing, that I wasn't even expecting, was how Apple Music made me eager to discover new music, and delighted when curated offerings gave a solid listening experience. As others have said on this forum, I discovered new music (that I actually enjoyed) at a much faster rate than with Spotify. And through a combination of delivery methods, too: the For You tab, Beats 1, curated playlists etc.
Some people have said that it's pompous to suggest this but, there has definitely been a shift towards music being seen as disposable and of little consequence, which services like YouTube and Spotify (free) have contributed to. Apple Music genuinely offers a good deal for artists, but perhaps more importantly to securing customers for Apple Music, it seems to have a respect for the art it is curating and presenting, like any other storefront should, and which Apple do so well.
I have seen some suggest that Spotify is a better service for people who know what music they want to listen to. That, to me, is not the promise of a streaming service – it's got to move beyond that – leveraging the asset of a huge library of music to offer customers an experience. Apple Music does this. Spotify does not.