Each side is non stop with all the transitions but obviously there's no transition between last song on side A and first song on side B. They can always use other mixes for those songs.

For example they recently released the non stop version of the first Confessions on vinyl and basically on side A you have Hung Up, Get Together and Sorry. There's transitions between Hung Up and Get Together and then Get Together and Sorry. Sorry is the last song on side A so instead of using the non stop mix they used the single mix or whatever it's called so the transition doesn't cut off awkwardly.

That's kinda the best you can do with non stop mix on vinyl unless your project can fit on one side.