？
Will she get better soon?
Literal
She [topic-は] soon good become [question-か]?
良くなる ('to get better / become well') is i-adjective + ~くなる, the standard pattern for 'become X' with i-adjectives. The く is the adverbial inflection of 良い ('good'), and なる ('become') turns it into the change-of-state verb. The polite question form ~ますか is appropriate when asking, say, a doctor or attendant about a patient's prognosis. すぐに ('soon / right away') with both に and the bare すぐ are interchangeable in most contexts; the にversion feels slightly more formal or written.