Say, you don't have to worry about a budget

Here's what I'd get her:

Halo Sleep Sack Swaddles
Sleepers with snaps
Swing
Diapers in Sizes 1, 2, and 3
Lots of Wipes
Lots of Diaper cream
2 Hands-free pump bras
Lots of bottles that all match each other (I hate our modge podge of bottle supples!!!)
Spill proof water bottle with a straw