There's actually an omnibus of the entire Abnett / Lanning run that just came out, but yeah, you're better off picking up a variety of Vol.1's until you hone in on what she likes specifically. I would also try her on books like
Ms. Marvel and
Captain Marvel.
Unbeatable Squirrel Girl and
Spider-Woman are also fun reads.
Getting into comics can be a bit overwhelming, but it's best to just pick up books that pique her interest and go from there. Keep in mind, Marvel LOVES renumbering, so you may come across several trades from a series that are all labeled Vol.1, but are actually all different story arcs. Just ask if you need help deciphering which are which.
If you're picking up a bunch of stuff, take a look at
InStockTrades for some deep discounts, and free shipping over $50.