It's a really general question so I'll keep my answer general by sticking my the sports-science mantra:
"If you want to get good at X, practice by doing X and a lesser amount of Y;
where Y is functionally similar to X."
If you want to get good at running 1 mile, then run 1 mile a lot. Throw in some short printing exercise and a few slower 2 mile runs and you have a pretty good regime which will improve your 1-mile time.
The is the very basic principle behind programming for sports. You don't see rowers spending most of their time on the bench-press, because they are rowing. If I was training for a running race and spent all my time on the cross trainer had did a couple runs then I wouldn't do as well as someone who did the opposite.
What will doing burpees develop (muscles)?
You will get good at doing burpees and find them easier as your mind develops the connections required to execute a burpee without thinking about the motions and balance. You will develop your brain (sort of)
Next, burpees consist of a squat-thrust followed by a squat-jump. Both are variations of performing a squat but both aren't really as good as just a pure, full-depth, ass-to-grass, bodyweight squat.
Problem is, burpees don't really provide any significant resistance or work to ANY part of your body, there is a lot of stabilising going on and movement but for the most-part you are just moving fast. You won't develop any specific type of physique that can be categoried using normal descriptions (lean/bulky/ripped)