Greetings, beardsbh123, and welcome aboard
Quite honestly, few folks shoot trap and skeet. Even at the smaller clubs, the regular shooters tend to segregate themselves into Skeet people and trap people. This is not to say that Skeet shooters don't shoot some occasional trap and vice versa.
To the casual observer, Skeet and trap look pretty much the same: a target is tossed and it's either broken, or not. Yet, the games are quite different. Skeet demands a more dynamic shooting style where trap requires more precision.
There's also the social aspect. Skeet is shot as 5-man team with each member shooting in sequence with the support of the others -- while trap is shot five abreast with little interaction between the shooters. Because of this, Skeet is shot at a more leisurely pace than trap.
There's also a difference in the equipment that's best suited for each game. Trap guns are typically single shots with long barrels that are suited for shooting rising targets at various distances. Skeet guns are repeaters that are suited for shooting close-in crossing targets. The more involved you get in a sport, the more specialized the equipment becomes. To shoot both games with the same gun will involve some compromises. Contemporary compromise guns are commonly known as "sporting" models. Another option could be a second barrel set.
Since the two sports are so different, they will appeal to different individuals. New shooters who start with Skeet and trap will, most likely, eventually come to favor one game over the other and concentrate their efforts on that game.
Beardsbh123, for now, get a gun that is suitable for both games and have a great time at your local club. Be realistic about your budget, if you purchase a big-box store, super discount, entry level pump, you'll soon realize that you're severely disadvantaged in Skeet and trap.
