In the iTunes Store app, you can review and download music, movies, and TV shows purchased by you or other family members. You can also customize content restrictions for the iTunes Store in Settings.
With Family Sharing set up, the family organizer can review and approve purchases made by other family members under a certain age. See Manage your library in the Apple TV app.
To see a chronological list of the apps, songs, movies, TV shows, books, and other items purchased with your Apple Account, Apple Support article: Hide and unhide music, movies, TV shows, audiobooks, and books