She'll probably become famous.

Literal

She [topic-は] future-in famous [will become-になる] [probably-でしょう].

でしょう softens the prediction — the speaker believes she'll become famous but presents it as conjecture rather than certainty. As the polite form of だろう, でしょう is the default choice when speculating in polite conversation. 将来 (in the future) is the standard time word for talking about someone's future prospects, typically about career, life trajectory, or personal development.