My university, Hankuk University of Foreign Studies (HUFS), is participating in the Korean Government Scholarship Program (KGSP), which offers full scholarships including living expenses, airfare, for graduate students to take a one year Korean language course followed by 2-3 year graduate course in an applicable major. Applications for KGSP through Hankuk University of Foreign Studies and other Korean universities are now available. It really is a great opportunity for a student with an interest in Korea and Northeast Asia to experience it firsthand, obtain Korean language skills, and get a Masters or PhD all in one go.
The applicable majors they are referring to are fairly broad, but need to slot into one of these three categories (which shouldn’t be too hard). Certain Korean universities will host certain majors, with many of the Language/International Studies/Korean Studies/Regional Studies ones coming to my university.