There are a bunch of apps that can do this. OnSong is by far the most popular, arguably with the most features but also complex. There's also SongSheet, MySongbook, Chord Chart, etc. Each one has its strengths and weaknesses.
I currently an app called "my lyric book". It lets you make playlists, keeps the songs in a library, and has options for page turning by pedal, one finger swipe, or 2 finger swipe. One of the main reasons I still use an ipad instead of my nexus 7.