The mobile app has all of the same functionality but has a different layout and some changes.
After logging in or creating an account from the app, you will be taken to the Dashboard which has the same info as the website.
On the top right corner there is a vertical dot icon which you can click to show the following options and actions you can perform:
Across the bottom of the screen, you will see the main navigation options for the Dashboard, Playlists, Calendar, Notifications, and Groups & Members.