Induced or not, honestly it's still extremely painful when you start to have contractions but then again you can always ask for epidural which REALLY HELPS. Try to do squats. This exercise helps your cervix to dilate. Or walk at the park. I have more extreme exercise that helps me to dilate but I will not recommend since this is your 1st pregnancy.
I delivered when I was 40+1 and also induced. don't worry too much as you can opt for epidural. for me personally, I feel induced is not as painful. it is bearable. pls monitor and go to hospital straight if any labour symptoms