。
She has had a classical education.
Literal
She [topic-は] classics [of-の] education [object-を] is-receiving.
古典 ('classics') in an educational context normally points to the high-school 古典 curriculum — 古文, the language of Heian-era court literature like 源氏物語 and 枕草子, paired with 漢文, classical Chinese read through kunten reading marks (返り点・送り仮名) that re-order the characters into Japanese syntax. The collocation 教育を受ける ('to receive an education') is the standard frame for being taught: Japanese describes education as something one receives from a source, the same way 試験を受ける ('take an exam') and 治療を受ける ('receive treatment') treat their objects. The ~ている here is a resulting-state reading — not 'currently being educated' but 'having gone through it and now standing in that condition.'