Congrats on your baby girl!
I'm so glad you've finally gotten a chance to hold her. Since a hospital that does not "allow" you to see your baby probably isn't very bf friendly, I hope you don't mind a little bf advice. Please know that you shouldn't be on a "clock" and just let her nurse whenever/however she feels like it. Sometimes you do have to wake a really sleepy baby to try to get them to nurse at first, but otherwise, just stay skin to skin as much as possible and let her go at it. Also, it is VERY common for newborns to seem like they're starving at first. I know it was really surprising to me when ds1 was born, and nursed constantly. And it can take a few days for your milk to come in... sometimes a little longer when you've had interventions during birth. That is NORMAL and babies are made to thrive with colostrum for the first few days or more.
The newest research actually shows that even eating and drinking does not affect milk production as much as we thought. Mama will suffer if you don't get enough nutrients, but baby will not. Even malnourished women in third world countries make enough milk for their babies! So, please don't let anyone make you think you can't nurse her or she needs something else.