I don't show, but I am an adult so I will compare to the kids I knew that rode.
There are many different types of riding - competitive jumping, XC, dressage, showing, foxhunting, trail riding, endurance, happy hacking (my favourite
), mounted games, sidesaddle, plus all the western disciplines of which I know little.
Everyone is different, and we all like different things - whatever 'floats your boat' at the time. Your daughter might try out some things, she might change what she likes. Much of it will depend which has the most fun and most friends. The important thing to focus on is enjoyment.
Oh, and the point of showing?
Ummmm... A goal to aim for? A day out sharing your horse with like minded people?
The point of hunter style riding? Well, originally it was a chance to 'show off' your favourite hunter horse and enjoy a bit of friendly competition with your mates. Then less people hunted and more people had horses, and so the point of it is more to have a goal and to enjoy the competition. No more, no less.