Don't bother with wax or polish. You can buff it with Finesse-It, but it won't last. What happens with quick jobs and any product that promises easy and quick results is that the micro cracks and rough surface (micro- in that it's not visible to the naked eye- that's what makes the surface dull) are filled in with the polish, giving you a shiny reflective surface. You're ecstatic for a while, then the oxidation of the stuff that filled all the micro cracks starts to break down the surface and all of a sudden in 2 months it looks terrible again. So you blame the product you used or the one who applied it.
Truth be told, there's no shortcut to glossy gelcoat. Even awlgrip requires substantial preparation, and it's expensive. If the gelcoat is oxidized, the only lasting solution other than a new surface (paint), is to re-surface the gelcoat. You must make the surface as smooth as you can. The more micro-cracks and crazing on the surface, the more surface area that's exposed to the sun, and the faster it will oxidize. So removing the micro cracks (oxidation) is the only way to achieve a lasting glossy surface. The more perfect the surface, the longer it will stay that way.
Depending on the degree of oxidation, the only solution might be to sand. A badly oxidized surface might need to start with 400, then progressively finer, then gelcoat compound (I'm using Presta) with a cutting pad, and for a real fine finish, wrap up with glazing compound (finesse-it) or other glazing compound with an appropriate buffing pad. My 19 yr old hull is to the point that I must use gelcoat compound and a cutting wheel first, or it won't last more than 3 months. With the Presta, following with Finesse-it, it will stay shiny for nearly a year. But man, it's a LOT of work, and it doesn't last much more than a year, no matter what marketing you're listening to!!
I've had good success with Permanon, but it won't last without compounding and polishing first. I've also had success in applying wax over the Permanon. If you start with a highly polished surface, it lasts nearly a year, and it can be re-applied mid-cycle with just a strong cleaning and skipping the compounding. Not inexpensive, but easy to use and it does work as advertised.
Results are directly proportional to the amount of effort expended. Getting gelcoat to shine like new is A LOT of work. Not everyone places a high priority on that sort of thing, so it's up to the individual to determine how much effort (or ca$h!) they're willing to expend to achieve those results!