If the social aspect of Apple Music does not interest you or you do not want to simply subscribe to the service from Apple, a trick to hide this feature is available in the iOS settings. 

Simply turn off "Apple Music Connect" in the system restrictions 

(Settings> General> Restrictions> Enable Restrictions and uncheck Apple Music Connect). 

Finally, press "No thank you" in the Music application to the question if you want to test for 3 months streaming service if it does not. It will do more than 3 tabs in the Music application: My Music, Playlists and Radio.
Apple music connect
If you have taken the test three months, the Connect tab is removed and is replaced by playlist.