Study Korean with a tutor or sign up for a class. Many areas in the United States such as Los Angeles, San Francisco and New York have large Korean populations. You can find formal classes at cultural centers or private language schools. Many universities and community colleges will also offer different levels of the Korean language. If you would prefer to study one-on-one with a Korean speaker, you can hire a tutor who will construct lessons specifically catering to your language goals. For a more economic option, seek out an English language learner from Seoul who would like to practice English in exchange for instruction in Korean.
Study online. Read about the history of the language and the differences between dialects and variations in speech and pronunciation. The website Omniglot features links to several online language learning sites for Korean, as well as a chart of the Korean alphabet. Interactive language learning websites such as LiveMocha offer free online courses with audio and Korean script, and put you in contact with Korean speakers living in Seoul.
Take a trip to Seoul. South Korea offers opportunities to teach English while studying the Korean language. Korea offers many job opportunities for native English speakers with various levels of education and experience. This will give you the opportunity to live in Seoul, be immersed in the language and practice interacting with native Korean speakers in real-life situations. Schools may also provide free or discounted language courses for their contracted teachers.