Apple Music is now rolling out to Google Assistant smart speakers and displays

Apple Music support is rolling out right now to devices that support Google Assistant, including Nest Audio, Nest Hub Max, Nest Mini, and much more. Obviously, you must first link your Apple Music account in the Google Home app, but after that, you should be able to play the music you love on Apple's music streaming service.
In fact, once the update hits your Google Assistant-enabled device, you'll be able to ask Google Assistant to play any specific song, artist, or playlist available on Apple Music. You'll also be able to play music based on genre, mood, or activity, as well as your liked songs from your Apple Music library by saying, “Hey Google, play my songs” or “Hey Google, play my library.”