yep, once the block that contained that transaction is downloaded and read by the client, it will show up in the window.
Make sure you have backed up your wallet.dat file properly as well, put it on a flash drive and store that flash drive in a safe place, you may even want to have it on 2 separate flash drives and check to make sure they are okay make a new backup every 2-4 weeks. buy separate brands to be safer.
^Fixed
Remember that you only have 100 spare keys in your keypool that get backed-up, and that most outgoing transactions will use one of these keys.