You can search in the Korean box using Korean hangeul, in the English box using English, and in the Romanisation box using revised romanisation. With romanisation, you currently have to use hyphens to separate the syllables as written in hangeul, eg "neo-mu" instead of "neomu". The results are returned in two groups -- the first contains exact matches for your search, and the second contains matches which contain your search. Currently, you can only search for single words, not phrases.
The results consist of: the Korean in hangeul, the part of speech in brackets, a representation of the hangeul in revised romanisation, the English equivalent(s) of the Korean, and any citations for the result in (an older version of) Tatoeba.
Use the "Affixes" menu item to open a list of affixes. Click on an affix and you can see all currently-defined affixes, with general meanings. Note that these are only indicative.