She'll definitely succeed.

Literal

She [topic-は] surely will-succeed.

A bare-bones future-positive prediction. Note that 成功する ('succeed') in Japanese describes the act of achieving — slightly different from English where 'succeed' has a stative quality ('she is successful'). The Japanese verb is more event-like; for the stative reading, you'd use 成功している ('is in a state of having succeeded') or describe the person as 成功した人 ('a successful person'). The lack of any explicit auxiliary (no だろう, no でしょう) makes this a confident, almost forecast-like declaration rather than a hedged prediction.