growing a small plant with artificial light?

[confused]

ok, i just got this great idea for a birthday gift for my girlfriend but i have no idea how to do it and its kind of crunch time so...

I live in michigan so its winter right now, and her favorite flower is white orchids with purple in the middle, I was thinking i could buy a small plant in a pot and a lamp with the right kind of light for it to grow.

We are in college so the plant will be living in a dorm room, this is why i need the lamp, plus its winter so theres not that much light.

I just have no idea what kind of light i need....i was hoping to just get a small lamp with a special light bulb but everything ive seen online so far tends to be for growing a lot of them, not just for a small plant, and those are way out of my budget.

any ideas? is this even possible? I'm not looking for anything professional, just to be able for the plant to grow and look nice....and since its a small plant I'm hoping for a small light cause this will be in a dorm room and something compact would be ideal.

Thanks!