I had a very good experience 2 and half years ago with my first at 41+2 weeks.
Went in at 5 pm, an hour later they put the gel in. By midnight, I was dilated 2 cm, so they broke my waters. The contractions started very fast and intensely after that. The midwife told me they would be back and check upon me in 3 hours, but I had to send my husband for them after 20 minutes as I couldn't cope with the pain. They were surprised how fast everything happened and put me into a birth suit.
I wish I had asked for an epidural earlier; I tried to see how the gas&air would work, but I was in so much pain - the epidural took 3 try before it finally worked. After that, I felt very relaxed - I even had some time to take a nap. I started to push around 11 am, and my baby was born at 1.30 pm. Pushing took a long time, over 2 hours. To be honest, as I couldn't feel the contractions, I think I wasn't pushing hard enough. I had stitches and lost a bit of blood, but the recovery was surprisingly fast for me.
I loved how controlled everything was - always midwife next to me, monitored through the whole time, so I saw my baby's heartbeat and contractions.
I much preferred having my first like this, rather than being home and not knowing when to go to the hospital.
Hoewer, the only negative thing was that they didn't take me seriously when I told them how much pain I was or how intense everything got after breaking my waters. They usually say if it's your first baby, things will go slow, but it's isn't the case for everyone. You just have to be firm and tell them exactly what you want and when you want it.