Flying an airplane is a strange experience. It combines a sense of power-fullness and power-lessness. Yes, you have the ability to fly, yes you move faster than you have ever done before.
But, at least in the small airplanes I was taught in, errant wind push you around like you were a feather.
Don't expect to take off or land on your first flight - those come later (if at all). But on your first class you can definitely take the 'wheel' of a small aircraft and be in total control of it.
I did it in Texas, and it was a gift, but places in NY area tend to charge more than $100. If you can get it for $150, that's a good price. While basic control of the plane is easy in air, dealing with an emergency, taking off, and landing all take a significant amount of training. It takes a bit of muscle, but not a huge amount.
Flying trends male and older. People over 40 are more likely to have the time and money to spend on this hobby. You can start as a teenager, but it's rare. Note, in Alaska, some places need an airplane to get, so it may be more female and younger there. You can turn this into a job - if you are young and talented at it, particularly in Alaska.
Most small airport should have someone selling lessons of some kind. Do a google search and you should be able to find it.