Find some music in the feed or in the Discover section or in any Artistclub. You can listen to the records by pressing the Play button. If an artist has set up the price for their track or album, you will be able to listen only to the first 60 seconds. So, you may purchase the album to listen to the full version.
Choose an album you like and type on it. Here you can Add it to your library by pressing the corresponding button. If you want to save a specific track, press the three dots and Add to Library button.
Now, you can go to the Library section and see the music you saved.