Hi @deadelia,
So in theory the keyboard commands for previous and next page should work on iPad. I just posted a similar thread here re. iPad shortcuts (iPad) Highlighting Text - Keyboard Shortcut - #5 by tobias. Moving forward we will moving to Ctrl shortcuts on iPad.
Re. iOS swipe gestures, these are currently working in one of our development builds of Supernotes, however we aren’t happy yet with it’s functionality. We will expand it so you can swipe back to previewed cards and different pages within the same noteboard. It is slated to arrive in a 3.1.X release.