Caveat : Turning off the SSID won’t make you invisible.
Maybe you won’t show up in a stock install of OS X, iOS, or Windoze, but you may show up in some flavors of Linux (including Android) even without tweaking, and if someone is actively looking then MAC filtering is the only truly effective way to lock people out. Passwords can work, but not always, especially WEP. (Yeah, MAC addresses can be spoofed, but not as easily as sniffing passwords, and anyone who goes that far will likely find a way to screw you no matter what anyways.)
I would not worry about hiding it unless your boss is so technologically inept that he actually believes that “security through obscurity” really works. I would concentrate on making sure that people just can’ tdo anything with it when they find it (and they will).
I have to wonder though…. smartphones and some iPads already have their own internet connection anyways, so what are you actually accomplishing here?