。
She'll probably become a doctor, don't you think?
Literal
She [topic-は] doctor [to-に] become probably [right?-ね].
~でしょうね layers two softening particles: ~でしょう downgrades to a probability claim, and ね invites the listener's agreement — the speaker isn't asserting alone but checking whether the listener also reads the future this way. Common when discussing someone's career trajectory based on visible cues (her studying, her aptitude, her interests). The non-past 医者になる reads as future ('will become') in this hypothetical-projection frame.