She can go to any gunstore and buy, they usually set her up with the license there. Just be sure she doesnt use the gun on you...
For wimmen (I have a feeling you'll be using it too) probably start off with a .38 revolver or a 9mm auto. Norinco makes very good copies of SIG 9mm and they are cheap. Taurus is slightly more expensive but their quality is hit or miss. More popular brands like SIG, H&K, Glocks, etc. get pricier. Also the license allows you to keep the gun at home only, you need a permit to carry (separate license- hell of a racket they got) if you want to lug it around (and no you cant go to bars or malls even with that).