Bitcoin Core was still syncing. If you look up the address on blockchain.info, you should see that it has had Bitcoin sent to it. You won't see the Bitcoin in your wallet until the client finishes syncing. The blockchain is almost 40 GB of data, so you will need a larger hard drive if it says that it needs more storage at only 35 GB. The 45 weeks thing means that your wallet's latest block is from 45 weeks ago.

If you don't want to use Bitcoin core, you can export the private key to your address and import that into another wallet. You will be able to spend the Bitcoin from there.