The National Institute of Korean Language's dictionary built specifically for learners.
Details
Free official dictionary with definitions graded by learner level, grammar and usage notes on each entry, conjugation tables, and translations into a dozen languages. Because it is designed for learners rather than natives, definitions are simpler and the example sentences are chosen to teach. If you later want the full monolingual reference used by native speakers, the same institute runs the Standard Korean Language Dictionary at stdict.korean.go.kr.