Honestly, you're so numb you won't have a clue what they're doing.
I've seen more than a few hundred C-sections, so I know what's going on. But I wouldn't have been able to tell you what stage they were at during my own. If you don't want to know what's going on, they won't tell you. They'll let you know when baby is about to make their grand entrance naturally.
The oddest/weirdest part is just before baby is out, when the surgeons have to manoeuvre baby's head through the incision. It's a lot of pushing on the part of the surgeons. We describe it as 'a rummaging sensation'. It's an odd one for sure, but not painful or unpleasant. It's accompanied by the sound of the suction, which you will hear on and off throughout the whole operation. It sounds dreadful, but be assured it is almost entirely amniotic fluid being sucked up. After that, I was more interested in looking at my baby, than caring what was going on.
Other ways of keeping calm will be to focus on DH/P. Having relaxing music on. I find singing along to a song distracts me very well. If you haven't tried hypnobirthing, maybe look into it. I've not done it myself, but many people recommend it, and you might find the relaxation techniques useful. Have DH/P have something smelling of lavender, or another nice smell you like.
Best of luck for in a few weeks!