。
She gave a typical example of modern music.
Literal
She [topic-は] modern music [genitive-の] typical [adjectival-な] example [object-を] raised.
例を挙げる ('to give an example, cite an instance') is the standard collocation — 挙げる literally means 'to raise, lift up,' and the metaphor is of holding an instance up for the audience to see. 典型的 ('typical, prototypical') is a な-adjective; the な connects it to the head noun 例. 近代 ('modern era, modernity') typically refers to the Meiji-period-onward modernization of Japan in scholarly contexts, though in casual usage it simply means 'modern' broadly.