I had a 2020 4 door Rubicon, so not the Gladiator but pretty similar. Mine was the v6 with a 6 speed manual and was gutless up here at altitude. I would not have wanted to tow anything very heavy with it.
I had a dealer install the hitch when I purchased it new and yes there is an option for the a brake controller. As for whether it is standard or not I do not know.
https://store.mopar.com/oem-parts/mopar-trailer-brake-controller-82215652ad#:~:text=The%20controller%20and%20status %20display%20are%20mounted%20in,force%20the%20trai ler%20uses%2C%20depending%20on%20load%20requiremen ts.