RE: First time female shooter, What Caliber?
I agree with a .22 LR to plink and target shoot with (ammo is dirt cheap). You didn't specify what type of hunting so maybe an AR-15 for varmints. If you're thinking about deer hunting, my wife's favorite rifle to shoot is an M-14. You can pick up .308's in bolt or semi-auto and they have plenty of power for deer hunting with fairly low recoil.