I just signed up for Coinbase and transferred $50 worth of bitcoins into it before it closed. It said I had to transfer my funds. So I downloaded Armory and found what I hope and pray was the address to send it to the Armory wallet and now I can't find my funds and it constantly says "offline". I have absolutely NO CLUE about bitcoin. I am trying to learn and Coinbase seemed really use to use, that is, until they all the sudden shut down. I am at a loss on what to do and I've tried emailing Coinbase and well, their customer service SUCKS. I am afraid I'm about to lose the $50 in bitcoins I transferred. I dont even know if I did it correctly to be honest. I am trying to see if they are in my Armory wallet but the stupid thing won't get off "offline" so it can't fully run. How in the heck do you get it online??
Seeing you are a complete newcomer, you're in for a ride. Consider that Armory is an advanced wallet, and you know too little about Bitcoin to get a smooth first experience.
With that behind us, follow achow's instructions to get Armory online. Armory requires a fully synchronized Bitcoin node to operate (this is not a design limitation but part of the model). Bootstrapping a Bitcoin node can take days if your hardware/internet connection is not up to par. Be warned that this is a long and resource intensive process.
Once you have that part covered, the worst is behind you. You can keep on asking for help on this forum but remember to keep it civil.
Now, if you wish to verify your coins are on your wallet, open Armory (doesn't matter if its offline), double click your wallet, and find the address you sent the coins to. Copy that address (should start with "1" and be some 30+ characters long), and paste it in a block explorer (I use blockr.io). This will show you the balance on your address (your coins should be there).
Generally, you can just get offline Armory to spit out addresses to receive payment. You need to take Armory online to:
1) Verify your balance from within Armory
2) Create transactions, in order to pay others.