Not really, many parts of the world does intro flights, and HOPE you continue to fly with them, but that is never a requirement.
Yes, do get a couple of lessons under your belt, and perhaps enjoy the office in the sky. Mind you, it is totally different between GA and airline flying, BUT the experience will do you great.
One thing good about being in N. America, is easy access to GA flying.
So try it out, best of luck and hope you enjoy it as much as anyone of us does!