Yeah, there has existed a purely phonetic writing system called hangul since the 1600's.  Previously, they used a a system of using hanzi with similar sounds for all the phonemes of Korean.  It took a while for hangul to gain acceptance, because it was initially regarded as a poor person's method of writing, but now Chinese characters are used only for certain commonly used words in newspaper headlines (美,中,韓,日,英,etc); to signify the days of the week on some calendars, and for differentiating terms in some documents.  Students still learn the 1800 most common ones in school, since much of the vocabulary is based on Chinese characters.  Similar to Japanese there are native Korean words which do not derive from hanzi, but one Korean there is only one reading for each character and each reading is only one syllable.

Koreans use 龍 for dragon.

Hangul is the writing system.  The language itself is called 한국어 hangugeo (same word-for-word meaning as 韓國語 kangokugo) or 한국말 hangukmal (말 mal being a native Korean word with the same meaning as 어 eo).

is "Katamari" a surname? also what does Kororinpa of "Kororinpa: Marble Mania" for Wii mean, my friend says it sounded like someone struggling to say "coloring pad" in japanese. Any help?