Just sent my 0.05 BTC from the faucet to myself... it's still at 0 confirmations about 20 minutes later.
It is showing as "0/unconfirmed" on both machines.
Is this normal? Am I just waiting for the next block to be hashed?
How have you not learned this stuff yet? http://www.bitcoinmonitor.com/
It's been a while since a block was found. You will get your confirm eventually.
I have never sent anything to or from anybody before! Please forgive me :S
It is sitting at 2 confirmations right now which is probably me and the other computer that I sent it to in the room next to me?
Amazingly however, the transaction was virtually instant. I clicked "send" and it showed up on the other computer before I could switch to the RDP screen.
No, that's not what the confirmations mean. The first confirmation means that someone put your transaction in a valid block. The second means that someone worked off of that block and found another valid block which doesn't explicitly contain your transaction, but is an endorsement nonetheless. I think you should see 4 confirmations now.
It's just a coincidence that you appeared to get 2 at once. The average time between is 10 minutes, but those two only had 11 seconds between them.