Hello adam234 -- I'm an engineer who had a cystoscopy last November to rule out bladder cancer (my Urologist had detected a small amount of blood in my urine). I can share my experience with you and try to answer your questions. I understand your wanting to observe the procedure - I usually watch needles go in, as well.
First, my Urologist's procedure room had just the one monitor, so I didn't get to see any images of my urethra or of my bladder. The Urologist stands between your knees, facing you, while he or she is performing the procedure. My Urologist used the eyepiece (lens) at the end of the scope, so I don't think she used the monitor at all.
I was offered a drape, but I discussed using this with the Doctor's assistant, and she and I agreed that it was OK for me to be naked for the procedure. I was in a reclined chair with my legs in stirrups, so my penis was easily visible. During the procedure, what I saw was the penis pointed up, towards my Doctor, with the black tubing of the scope coming out of it, with the hand controls and lens assembly at the far end.
Before I was prepped for the procedure, my Doctor advised me to relax and avoid tensing up as the scope was inserted. Then, I received some Lidocaine and lubricant gel from her assistant, and we waited for a few minutes for the anesthetic to work. The Doctor and her assistant then readied the scope, and I relaxed and closed my eyes. After a few seconds, I felt the scope being inserted, and it was passed readily up into the bladder. The sensations while the scope was being inserted were all very pleasant. Once the scope was in my bladder, I didn't feel anything.
As the Doctor was examining my bladder, I opened my eyes and watched her work. She rotated to scope to scan the entire inner surface of the bladder, and used a syringe to aspirate liquid from it to send to the cytology lab. I recall that she used the eyepiece exclusively. She announced that the bladder looked normal and then gently withdrew the scope from my body. The whole procedure took only about ten minutes, including the prep time.
I would expect that you will be able to watch your Urologist perform the procedure (in terms of inserting, operating, and removing the scope), and his or her assistant do your prep work, but if the procedure room isn't set up for a patient to view a second monitor, I wouldn't ask them to set one up for you - it's really not worthwhile to do - for such a quick procedure. I imagine that the use of the drape is optional - if you want to see what's going on, they very likely will be OK with that.
Your Urologist will be looking for something that may be causing the pain you experience on urination. If he or she finds the cause, some video saves may be taken to document this.
What I always tell people is that if you have any questions, you should contact your Urologist's office and speak with the staff about your up-coming procedure. Let them address your concerns. You shouldn't worry about the procedure, though, because it should be relatively comfortable, and completed in a timely fashion.
Good luck with this - I hope the cause can be located and treated successfully.
Alan12675