Having owned both, ('93 FZR600 and an '87 Hurricane 600) I'd say as a first bike, get the Honda.
Why? Yes, the FZR is the better pure sporting machine, and rides like it. For a first bike- I'd recommend the Hurricane, as it's less committed and very forgiving. (Just make sure you find a nice one.) They aren't quite as fast as the FZR's, but we're talking about a first ride here, those 3/10 ths of a second probably won't be missed. The FZR is a great bike, don't get me wrong, but will demand more of your body on longer trips.
Either one will most likely serve you well, but I'd give the edge to the Hurricane, just because it's a little more daily-drive tolerable. YMMV, though.
Let us know what you decide on-