I'm looking to make some actual profit out of the $50 in Bitcoin I have. Is there someone I can give my bitcoins to, and have them buy and sell the stocks for me, and take a small cut for themselves?
I'm sure that's possible, but
DO YOUR HOMEWORK . If you entrust you BTC to anyone, be sure that they are a reputable member (RECENT and TRUSTED feedback - accounts are bought and sold all the time)
Honestly, with the volatility that's somewhat inherent in BTC, you're better off trading with Fiat currency with a real broker. If you're that interested in trading using BTC, though, start heavily researching the alt-coin scene and do some trading in that realm.
Just my humble opinion!

. Best of luck!