You have to be fully synhronised to see that transaction in wavet. But in blockchain info it is seen right after sent.
Well I'm pretty positive I've gotten notice of coins that were sent to my wallet while the syncing process is taking place. I'm interested what others have noticed, I just assumed the wallet would update as it sorted threw the update.
Is the transaction included in that specific block your wallet has downloaded and verified? If your transaction is included in the block your wallet have verified, the transaction and balance would automatically appear. I am not 100% sure about this.