I hear she's rich.

Literal

She [topic-は] rich is [hearsay-そうだ].

Sentence-final ~そうだ for hearsay attaches to plain forms (verbs, adjectives) — for noun and な-adjective predicates, you need だ first: 金持ちだそうだ ('I hear she's rich'). This is distinct from the appearance ~そうだ (looking like, seeming) which attaches to verb stems and adjective stems instead — the difference between 雨が降りそうだ ('it looks like rain') and 雨が降るそうだ ('I hear it'll rain'). The hearsay version cites information from elsewhere; the appearance version reports a visible impression.