The address portion should be the same as my blockchain account? Or the private key of bitcoin?
Blockchain account?
Are you using Bitcoin-Qt, or are you using https://blockchain.info/wallet?
Those are two different wallets, and they each have their own features.
If you have both wallets, then they will each have their own bitcoin addresses with their own bitcoins. You can send bitcoins back and forth between them.
In Bitcoin-Qt, when generating a new bitcoin address, you leave the "Address" part blank, and just enter a "Label". The wallet will create a new address for you. The private keys are completely hidden from you.
