Hi Charlotte,
I had a scheduled c/s with my daughter due to her being in a breech position. It was 2 months before my 18th birthday, so I can Imagine how you feel!
I had an epidural/spinal and stayed awake for the procedure and my partner was right by my side the whole time. It only takes about 15mins for bub to be out then the rest of the prcedure may take up to about 30mins. After they pulled her from my stomach she was taken to a table at the side to make sure her throat was clear and wiped her, etc. After that they laid her on my chest while I was still being operated on for me to have a hold. I was a bit shaky (freaking out) and numb at the time so I didn't enjoy it as much as I should have, but I was able to hold her straight away. They then handed her to my husband and wheeled me off to recovery room, and soon brought the baby into me where I breastfeed and cuddled with her for the first time.
C/s isn't the best thing to go through for mother and baby, and this time I am really pushing for a VBAC (vaginal birth after c/s), but they are sometimes the safest thing for the both of you. I'm sure the doctors and midwives present at your op will do everything they possibly can to make it the safest and best experience that it can be for you and your baby. I wish you all the best luck for a healthy and beautiful baby, which I'm sure you will have!
I have watched a doco where a baby was delivered (by c/s i think?) who had gastrochisis, where the whole bowel was on the outside of the body, and they wrapped it in plastic as the baby can out and they allowed the mother to have a quick hold and cuddle before the bub was took for his op. So hopefully you may be able to as well.
*Also don't be surprised if your baby turns around from a breech position, my first was breech and due to me having a bicornuate uterus or 'heart-shaped' uterus, which makes it hard for a breech baby to turn around, and at 34-35 weeks into this pregnancy my baby turned around!! So have faith! Good Luck xx