Yeah, that amount of money, it's not worth trying to purchase a few shares of a stock--you're better off with an index fund.
If you feel compelled to buy a specific stock--Disney or Coca-cola or something, because you think she'll like that particular company--go with an online trader that charges minimal fees. The days of fancy stock certificates and needing to save proof/date of purchase stuff is over, thankfully. It was a real pain in the butt if, say, you had a stock purchase plan through work, so you were buying shares of GE or whatever, a little each month, and eventually wanted to sell them.