First of all, welcome! You have indeed come to the right place. You are about to get a wide range of opinions from a lot of different places, so hang on to your hat. I'll give you mime now, for what it's worth:

You are doing your homework, which is going to save you a lot of grief and make your "first bike experience" a lot more positive. The best advice I can give you is to go to your neighborhood bike shops and ride as many bikes as you can. The two bikes you posted links to are quite different in riding position and function... That tells me you're very early in your search - and need to get out and ride an example of each one.

Neither of those bikes is particularly light or fast when compared to a typical road bike, but both could be a lot of fun to ride around town and on trails. The things you need to look for when you take a test ride are "fit" (how does your body relate to the bike - is it comfortable? Does it feel natural?) and "handling" (You'll need to try several bikes - each one has a "personality" as far as how it steers and handles terrain). The bike that fits and handles the best for YOU is the one you want to get. It might be a hybrid like the first one - or a hardtail mountain bike - like the second. Or something different...

Spend a day visiting the shops in your area and you'll have a much better idea of what you want. Good luck - and let us know how your search is going. We'll be here to answer questions...