Can you run off that?
yes, it runs the same lights and has a ballast just like the grow lights, difference is that this light wasn't designed to run inside. It means MEANT to get hot because it was never meant to go in a closet. IF you're going to run it (which you can, and it will work) then you should do a little work and remove the ballast and socket from the case it's in and install a new reflector. You'll also want to ventilate the hell out of whatever room you have it in.
And be insanely careful not to burn your house down.
Bottom line... Will it work? Yes. Should you use it? Probably not. It may be better to just go with CFL's, or just drop 200$ on a proper HID with digital ballast. The only upside I can see to that light is that it's capable of running varying wattage bulbs of varying types.
Good luck man!