It sounds like everything is going good. A few bumps in the road, but relatively easily fixed.
First of all, most babies want to be held all the time. Going from your warm cozy dark belly to this scary loud bright world is a big adjustment. Do you have a sling or carrier so you can hold her and do other things?
As far as the gassiness and spitting up goes, it sounds like it could be that she's getting lots of milk, but not as much cream. To help that, stick to one breast until it's pretty empty before using the other side. If the other side gets super full, you can pump and store that milk, but your body will adjust to this too. It's relatively easy to remedy it if this is the problem, and it's very common. I know most of us switch sides as soon as the baby isn't gulping very fast, but the fat comes as the breast is emptying, so if she's always snacking at a full breast she isn't getting the creamy stuff that comes at the end, which fills her up longer and settles her tummy a little more.
Anyway, it's relatively easy to try and see if it helps. Good Luck, and congratulations on your darling wee babe.
Kerri