。
She went to France in order to study music.
Literal
She [topic-は] music [object-を] study [for-為に] France [to-へ] went.
為に is the kanji writing of ~ために — the same pattern as the more common hiragana form, but with a slightly more formal or older-flavored feel on the page. Modern writing leans toward hiragana for grammatical particles and helper words, reserving 為 for compounds like 為政者 ('statesman') or 行為 ('act, behavior'). France was historically prestigious for Japanese students of classical music, with the Paris Conservatoire training generations of composers, pianists, and conductors.