I do not see your printer listed as an AirPrint compatible printer on the AirPrint 101 web site, so you will need a third party printing app from the App Store. Wireless printing does not mean that the printer is AirPrint compatible.
However, when I set up my HP AirPrint compatible printer yesterday - to work with the wireless settings - from the printer software - my iPad recognized the printer without having to do a thing.
It doesn't appear in the list of AirPrint compatible Printers here:
You may be able to find an App by HP that may allow Printing to it.