The good thing about the Wear OS is it allows you to use all the Google services. You can download all the Google apps including Google Maps, Google Home, Google Assistant, and YouTube Music. Yes, the popular YouTube Music app is available for Galaxy Watch 6 & Watch 6 Classic. It will let you listen to all your favorite songs or podcasts on your smartwatch. Further, the app supports offline mode to enjoy music when there is no internet connection. You can also create separate albums to listen to them back to back.
The only drawback of YouTube Music on Galaxy Watch 6 is that you can not use it without a Bluetooth headset or earbuds. Without earbuds, it will not let you listen to any songs or podcasts. In features, it offers songs in different languages, moods, genres, musicians, and singers. You can play next or previous songs, shuffle, make them favorite, and also download them on the watch. You can install the YouTube Music app from the Play Store for Galaxy Watch 6 & Watch 6 Classic.