Ryan,
Studying in landscape architecture helped me develop a thought process to go from point A to point B, or from a blank site with all of the client's needs in mind to a Master Plan that works well with all the elements perfectly blended to make your client happy.
This may appear to be a simplistic answer, but I think it's pretty much it. My program didn't have anything to do with golf, and certainly nobody that could properly grade or analyse my work on the subject. Some classes did help later on (ecology, drainage, grading, etc...) but I mostly had to teach myself most of the stuff as I went. By the way, I graduated in 1996, and I feel I am still studying golf course architecture every single day I live (and will continue to do so t'il I die, hopefully!).
Like Forest said, you need to see courses, read everything you can, try stuff and learn from your mistakes. And believe me, you will make a lot of them along the way! But they are the best way to learn!
One final advice: don't do all of your work on paper. What I mean by that is: try to get on construction sites at all costs! I believe this is where you will learn the most, or at least the quickest. Drawing a good plan on paper is nice to sell a project, but it does not necessarily make a good course. Most of the work is done on site.
Good luck. It's great business to be in, but it is also a tough one.
Yannick