It's a Jrpg, so expect dialogue similar to most other Jrpgs, if you've played any.
I'm not sure if there's a skip option for the dialogue, but it's not placed in specific sections throughout the game, like it is in Fire Emblem: Awakening.
In Awakening its like this: Pre mission Dialogue > Long Battle > Post mission Dialogue > Pre mission Dialogue > Long Battle > Post mission Dialogue > and so on.
That's not the case in most rpgs. Nor is it in this particular game. There's no pattern for how the dialogue is placed. You go out on an excursion, usually to accomplish a mission, and along the way there will be many small battles, and several scenes with dialogue.
Since the game isn't as linear as Awakening, it can be hard to know where to go next if you always skip the dialogue. Luckily, this game has a Quest log that keeps track of your missions, but you can still find it confusing to know where to go at time, even if you fully read all the dialogue. They say: Go to Shibuya, but you may not know where that is. And if you skipped all the dialogue, you may have missed some clues.

As for the gameplay, personally I don't think it would be enjoyable enough on its own without any story.