。
Is she a computer programmer?
Literal
She [topic-は] computer-programmer is [question-か].
A simple yes/no question with です + か, the standard polite question frame. コンピュータープログラマー is a fully naturalized compound English loanword — there's no widely-used native equivalent. The long mark ー lengthens the vowel: コンピューター (computer) and プログラマー (programmer) both end in long ā sounds, signaling the original English. Note the alternative spelling without long marks (コンピュータ, プログラマ) is also common, especially in technical writing. The combination here is a classic Japanese-English katakana compound: two English-origin loanwords joined with no intervening particle, treating the whole as a single occupational term.