You're 16 according to you profile (if I did the math right), which is your first problem. You can't own stock solely in your name. You'd have to have it jointly owned with someone over 18 as a custodian until your 18th birthday.
You definitely need to consult a pro on it, or at the very least spend some time reading up on the subject and learning the do's and don't of the stock market. Anything can happen there and it's not the safest way to invest money...there's always a risk involed and it's in the middle of the scale when compared to other investments. Not worth it, IMHO.
I used to trade heavily until I got burned bad multiple times. Then I started day trading for a while, but it wasn't worth the effort when you looked at the gain and not to mention it was highly risky. The only stock I hold now is a remenent from my childhood in a public utility, a small amount at that, which I never had the time to liquidate.
Now the vast majority of stuff I do (investment-wise) is in Real Estate, some of which I used my own money and a vast majority of which I'm using someone else's to make me money. It's nice and safe, has good gains for almost no work involved, and easier than you'd think to do.
If you just want 1 share of it as a 'cool' thing to have, then take a look at
OneShare. They sell 1 share of a company you choose for the stock price plus a fee ($39 or so). They'll up your price by offering frames for somewhat outraegous prices (Brushed Metal one for $64 for the Apple stock, more for others though probably due to size of the certificate) if you so choose. You can get one in a free paper frame, but it's not an option on the Apple stock. Cheapest frame for it is $34.00.
Stock
$63.00
Frame
$34.00
OneShare Fee
$39.00
TOTAL COST:
$136.00