She has had an interest in Japanese literature from the very beginning.

Literal

She [topic-は] from-the-beginning Japanese-literature [toward-に] goodwill [object-を] is-holding.

好意を抱いている (to harbor/hold goodwill) is a literary expression — 抱く (いだく) literally means 'to embrace' or 'to hold in one's arms,' and when used with abstract nouns like 好意, 興味, or 疑問, it means 'to harbor' or 'to hold (a feeling).' 初めから (from the beginning) establishes that this interest has existed from the start. The ~ている marks the ongoing state of this sentiment.