Gauguin is a proper noun referring to the French post-impressionist painter Paul Gauguin. The name is typically pronounced with emphasis on the first syllable, and the French-origin vowels yield a soft 'G' before a nasalized vowel pair. In English usage you’ll encounter two common realizations: a French-influenced /ɡoʊɡɛ̃/ or an anglicized /ˈɡɔːɡɡɪn/ approximation, depending on speaker familiarity and context.
Full pronunciation guide