Although not very many times for either, I've shot both trap and skeet. They are definitely different shooting sports. On-line explanations and/or visuals are the best way for you to see those differences. Just look at/compare the ranges for the two, and you'll immediately know you're at different shooting parks!
I made an important discovery the first time I shot skeet, which I now know is more challenging than trap. I found that I have cross eyed dominance, and cannot easily shoot skeet. I plan to go back to the trap range (when the weather gives me the chance again), and I believe I can handle that sport. The clays fly much differently, and I've done okay at my trap days so far.
BTW, Coach, if you hit 80% of the clays first time out shooting skeet, you are definitely in the top-notch beginner category!

Good job....enjoyed your Range Report.
Coach wrote:We took a Mossberg 500 pump out for its first time.
This was the first time I ever shot skeet. I did better than I thought I would. Probably hit 80% of the clays. Using the pump tired me out come round 40-50.