Jeff - I'm 62, started cycling at 56. My first bike was a Giant hybrid, and it was fine for what I wanted, something to replace running for cardio exercise. Then the bug bit - now I'm racing road bikes.
When you're starting out, it doesn't much matter which style you get, as long as you get on a bike and ride. It's obviously better to get a good quality bike from a reputable dealer, and the Giant you're considering fits that idea. It may be exactly what you want, and if it gets you on the road and helps your fitness, you're good to go. Then again, it might just whet your taste buds, and you can get deeper into it. Either way, you and your wife will be way ahead of most other folks our age.