Both would make fine rides. However, one will get you into quick trouble, whilst the other will teach you everything you need to know, about Ducati's - including if they are a brand for you, or not.
How do I know? I own a 2001 Honda CBR600F4i, and a 2002 Ducati 750 Sport.
The Honda is a simple, turn-key, capable motorcycle.
The Duc is a lot like owning a Douglas DC-3; there are a few things to consider, before going flying. First is Maintenance. Repeat after me: "Thou will keep the Cam Belts fresh, and properly tensioned." Second, keep the oil fresh (and, like a DC-3, if oil is not seeping, from somwhere, something is wrong). I use Spectro, and the engine loves it. Use Motul, and you will have oil, for your salad, in no time. Third, mystified complexity, and 6000-mile valve adjust recommendations are a bunch of hooey. The motor will easily, and safely, do 12000-18000 miles, before the valves might begin to complain they need attention. The fuel injection computer is quite primitive, and you have to let it warm-up, before riding. It is literally the coldest-blooded, fuel injected bike, on the planet (and, you cannot warm it up, on the side stand, as the motor will not run, with the side stand down. Thanks Ducati!). Plus, it is a simple bargain-basement Duc, with five-speed gear-box, wet clutch, non-adjustable fork, single front disc, and no fuel gauge. The latter is not really needed, as you can bank on getting about 200-miles, before you need to top off the tank. You do this by setting your trip-meter to zero, at every gas stop. Then, the closer you get to two-hundred miles, you will have a pretty accurate idea of how much gas is still in the tank. The bike also has a low-fuel light, however, the trip-meter is a better "Gauge" of things. Keep an eye on tank rust, as the tank is made of steel. The seating position is comfortable, as you can lean your stomach on the tank, which takes the weight off your wrists. I've done Los Angeles to San Francisco, in a day, so the bike can tour. With 62-horspower, on tap, you have enough to have fun, however, you will not win any drag races. Where you will be rewarded is on the twisties, and on the race track. Keep the rev's up (like a two-stroke), and you will be rewarded with a very fun ride. The only complaint I have is low-speed, parking lot stuff, as the fuel injection map is piss-poor, and low speed stuttering is a fact of life. Additionally, you can modify to taste. There's not a lot out there, however, there are some upgrades available. Seek this forum, for tips.
So, there you go.
Welcome to the forum, welcome to riding, and, hopefully, welcome to the Ducati Family.