No, not breast binding as such, but you can have something called a chest guard, which straps over the breast over which the bow string would pass. I'd recommend it even if your dd is (like me) less than generously endowed.
The only other bits of equipment you need individually, if your club has pool bows etc, will be a bracer (the rectangular bit of leather which goes down the inside of the arm holding the bow from elbow to wrist) and a tab (the piece of leather you use to draw back the bow string).
I'd recommend using a bracer and chest guard, because if a bow string hits the side of your arm (or, whisper it, your nipple) it hurts like hell and you end up with a "I've visited miss Whiplash" bruise to explain.
I haven't shot in competition for nearly 20 years so the terminology might have changed!.
Hope she enjoys it........happy shooting.