IlanaK - I do sympathise, I realy do.
DS had 4 GAs between 10 and 15 months. In fact, none of it is as bad as you imagine. ALL the children i have encountered (lots in all our weeks in children's wards) all sail through quite difficult surgerical interventions. They are brilliant. the parents of course are in anguish, but hinestly, it's never as bad as you thought it would be when it actually comes down to it.
Talk to the aneastetist. S/he will cme and talk with you as part of the admissions procedure, and will explain how they will do the aneasthetic. It may be via a canula in the back of the hand (in which case they put 'magic cream' on 30 mins before, which completely numbs the skin, and also brings the vein to the surface), OR it will be by gas first. Either way, they will be really good at involving you and putting your child at ease. Gas was better for DS because they could never find a vein at all, and every time, put the canula in his neck after he was knocked out with gas - but you do have to hold them while they struggle with the mask over their face. BUT THIS TRULY TAKES LESS THAN 10 SECONDS and actually if they do struggle it takes a lot less because the strugling makes them breathe faster! Some aneasthetists waft the end of the gas pipes under thier noses before applying the mask, so they are already a bit out of it!
You will stay with your child until they are unconscious...and it is true that it is extremely emotional seeing your baby unconscious on the huge trolley. They only ever let one of us into the aneasthetic room (in cap and gown), but your DH or friend will be allowed to copme down into the reception to theatre with you, so will be able to meet you as you rush out from the aneasthetic.
Before you go from the ward, make double sure form the nurses exactly where you should wait to be told your child is in recovery. they will let you in to be with him/her as they are coming round. Usually, they ask you to wait on the ward. It sounds as if it will be very quick? DS's first op was 5 hours...but then only 30-40 mins. they do seem to work v quickly.
My advice is definitely have someone with you (though most people I see are Mums on their own with their child - I must be a real wimp!) Also take good snacks for you, and for your child - they will be hungry and thirsty very soon after they come round.
You will be AMAZED at how quickly s/he bounces back. Have yogurts, little sandwiches, a drink, easy to eat nutritional food.
DS had 4 GAs in 5 weeks - and every week when we returned to the ward, he eracted with excitiemnt to the posters, the clanky cots...he wasn't deterred in the least by the fact that he kept having operations!