I've ridden stable horses, including some that were barn sour (don't like leaving the barn), but working ranch horses mostly. They are cool to work with. Some people have lived around horses their whole lives and don't have a clue how they think or how to work with them. Others need a few rides and have it all figured out.
I had a guy from Wyoming who boarded a horse with me for a short time, and he was absolutely clueless how to work a horse. Even I knew more than he did.
You need to learn how to watch a horse for the horse's reaction, checking its ears, its head, eyes, even the feet. Here's one of the first things I ever learned about a horse. If a fly lands on the horse, (a) the horse knows it, and (b) the horse can shake just that part of its skin to try to get the fly off. They are that sensitive. Remember that when you're riding - and stay of the horse's mouth!
Ditto the lessons. Most stables go English, I prefer Western, but that is like sitting in an easy chair compared to English. English is a few slabs of leather, Western has a pommel and a cantle and if you fall off, it is your own damn fault!

I originally learned on English and it taught me a lot about feeling the horse through your butt and thighs than Western does. OTOH, I learned about real horsemanship and riding overall by working cows for 10 hours a day than I ever did in an arena with an instructor. See if you can work a deal where they teach you about the care and feeding of the horse after you're done riding.
When working with horses, expect to get bit, stepped on, even kicked. Hell I got thrown from a horse - and I was standing on the ground!!! It happens. The old adage about getting right back on is absolutely true.
The other adage about horses is also true - there is something about the outside of a horse that is good for the inside of a man.