Induction question

An
40+5 and if I don't go into labor on my own, I'll get induced either Thursday or Friday. My doctor said if I'm not dilated enough this week (been a fingertip dilated for 2 weeks) that I would have to go into the hospital the night before induction to get the balloon thing inserted to help dilate? Does this hurt? And would I stay in the hospital after they insert it or do they send me home?