They're called "bitcoins", and very few people will accept PayPal as it is too easy for the buyer to reverse the charge and run off with both cash and bitcoins.
If you can convince someone of why they should trust a brand new user, and be specific about how many bitcoins you want and at what rates, you might get some offers.
Edit: P.S. If you're OK with small fractions of a bitcoin (like, you just want to see how it works), look at
Free Bitcoins Listing to see sites that will give bitcoins away.
Actually, OP mentions giving Paypal gifts, those are not reversible. If you are offering to pay first to trusted members in form of a paypal gift, you might get a few hits. That being said, if you are going to send a Paypal gift in return for BTC, make sure you are trading with a very trusted seller. There are 2 common outcomes, 1. You find a trusted seller, and everything goes through well. 2. You don't find a trusted seller and you get scammed.
Pick wisely my friend.