If you’re not interested in the Apple Music social aspect or simply do not want to subscribe to Apple’s service, a hint to hide this feature is available in the iOS settings. 
How To Hide The Connect Tab in The Apple Music App
Simply turn off “Apple Music Connect” in the System Restrictions (Settings> General> Restrictions> Enable Restrictions and uncheck Apple Music Connect).
Finally, press “No thanks” in the Music application question if you want to test for 3 months the streaming service otherwise it does not work.
There will only be 3 tabs left in the Music: My Music, Playlists and Radio application.
If you have taken the 3 months trial, the Connect tab is removed and is replaced by playlist.
