Hey there,
I also received this offer.
To answer your question, Kyung Hee university is a university located in Seoul near 회기역 on line 1, in the North-East of Seoul.
I visited this university and its campus is very nice given the kitch artchitecture of its buildings. :p You can find some pictures on google images.
But I use their books in my Korean class and they are very well structure and easy to follow. The only thing that lacks is a proper list of vocabulary. You will have to make your own.
As for the scholarship with KOPE bla bla bla in junction with GC, just pay attention that you still have to 400.000 wons (+ a few extras) for this compulsory GC class which will take every of your afternoons from Monday to Thursday and it seems that these classes require a lot of home work and papers to hand in.
That's why I am personally considering not to apply for this scholarship, because of this GC class. But be free to apply for it.