Hihi, I was induced at 39w5d, and was also 1 to 2 cm dilated then. I'm a FTM too, so I don't know if it's more painful than without inducement.
Sharing with you my rough timeline of natural birth labour progression, hope it will help.
0745 checked in and changed etc
0815 doctor came to burst water bag
0915 put on oxytocin drip
1200 requested for epidural
1255 5cm dilated
1345 8cm dilated
1700 about 10cm dilated. Pushed into delivery ward (due to the crowd that time in TMC, I was in observation ward firsr?
1750 baby born (:
Of course everyone will have different experience. Just wanna let you know there are not so bad cases out there. I will advise to trust your doctor, and just opt for epidural if you cannot take the pain. Jiayou mummy!