She is not only beautiful but kind, and moreover, brilliant.
Literal
She [topic-は] beautiful [not only-ばかりか], heart [also-も] kind [moreover-しかも], wise is.
Stacks three connectors: ばかりか, も, しかも — each adding another layer. 聡明 ('wise/brilliant') is a formal Sino-Japanese adjective. である is the formal copula.