She looks rich.

Literal

She [topic-は] rich [as/like-に] is-visible.

[noun]に見える is the standard way to say 'looks like X / appears X' based on visible cues. The に here marks the appearance state — 'visible as X.' This is distinct from ように見える ('looks as if'), which involves a clause and is more about resemblance. For appearance-based judgments — looks young (若く見える), looks tired (疲れて見える), looks rich (金持ちに見える) — に見える is the everyday choice. The corresponding verb for sounding/seeming is に聞こえる ('sounds X').