If it's a 333Mhz machine...then you probably have a Blueberry, not Bondi.
and yes, All first generation iMac's. (233, 266 and 333MHz) have fan's that run non-stop, even in sleep they run.
Your brother has a second generation iMac (350-700Mhz). These are the slot-loaders and have no fan at all. They are convection cooled by air rising up through the machine.