Pros:
Great variety.
Excellent mix of left, right, straight, tight, and wide open shots with water hazards and alternate tees.
Great views. Scenery changes throughout the course with meadows, woods, shade, sun, sand, people, wildlife, wild flowers, water, etc.
Lots of good elevation changes.
The course is not at all repetitive or monotonous.
Nicely maintained.
The mature cottonwoods and other trees are nice.
You could have a tough time finding a couple discs and want to scream after a couple throws, but the challenge of the course is not so insane as to make you not want to play it; it is about ideal.
Cons:
Tee offs and flow is confusing unless you have played it several times or have a map (print the one off this site before playing). This is sad, because it is a fairly big con, but about the only one I have of this course.
Other Thoughts:
This is my favorite course in Nebraska and the one we play most often. It never gets old and is the course that really got my wife and I into disc golf. Many avid players consider it one of the best despite the flow being awkward at times. If you want to make an all-day or overnight trip out of it, Kearney has nice places to stay and other things to do. You can also play Centennial and get a park pass and play Ft. Kearny while you are in the area. The Kearney community has an app (Kearney App) that also marks out the golf disc holes and tee offs as part of its "Disc Golf Tour" within the app. This might help locating tee.