Orbain,
I'll try not to repeat the advice already given, but will re-enforce the MSF Rider Course, it is well worth the time and money.
My wife got into riding, and her first bike was a 2001 Yamaha V-Star 1100. She handled it pretty well, but was always scared of having to use the clutch and downshift in an emergency. We ended up trading her V-Star in on "MY" Busa...how lucky am I?
We did get her another bike though. A Suzuki Burgman-650 Scooter. I can honestly say I was sceptical at first, but when I rode it 45 miles home, it was an eye opening experience. This was not a scooter. This was a 650cc motorcycle cleverly diguised as a scooter. Well balanced, excellent handling (not sportbike handling, but good), excellent wind protection, and massive amounts of storage. You could fit two FULL faced helmets under the seat in the trunk. It had three glove compartments, and one of them was lockable with a power outlet for cell phone/pda car charger.
Due to some financial issues, we ended up selling her burgman, but she absolutely loved it, although she honestly didn't ride it much. The day we got rid of it, I actually took it out on the interstate and hit 107 mph, and wasn't even that hard to do.
There are a lot of choices for you in selecting a bike. Just pick what you can afford, and can handle safely. No matter what you pick, take the time to learn how to ride properly, and ride enough to learn the characteristics of your own bike.
Above all...Be Safe! Wear your helmet at a "minimum", and make sure it is a quality helmet...you only have one skull.
Good Luck