1. You create an online wallet at Blockchain.info (I assume since you say "blockchain")
2. They sent you an email containing your wallet identifier and confirmation link
3. You cannot confirm it because you was offline (explain some more?)
4. You purchase some Bitcoin from CoinBase and then sent it to your newly create Blockchain wallet (which haven't been email-confirmed)
5. You did not the Bitcoin in your balance
Well, then one of the highest possibilities is that you withdraw to the wrong Bitcoin address. As long as it is a valid Bitcoin address, I believe CoinBase will send out. Blockchain.info just act as an wallet. The email confirmation is to confirm your ownership to the account (so they can send you a verification link whenever you want to login as an added security).
Edit: It will be great if you can post your Bitcoin address.
1: YES! Blockchain.info
2: EXACTLY
3: I didnt go online for like 3days because i was exetremely busy.
4: YES! It wasn't emailed confirmed yet. Though the confirmation link had been sent.
5: Bitcoin is not in the wallet till now.
But they sent to the email which i used in creating the blockchain.info account and i got a confirmation email via coinbase in that same email....
Did check whether or not your coins are still with coinbase? If you have not given coinbase your bitcoin address from blockchain.info they wouldnt send them there.