I dream of a society where the nation's wealth is distributed fairly.

Literal

I [topic-は] country [possessive-の] wealth [subject-が] fairly distributed society [object-を] dreaming.

公平に分配される ('to be distributed fairly') — 公平 'fair/equitable' + 分配 'distribution' — is formal political/economic language. 夢見ている ('to be dreaming of') treats the abstract ideal as an ongoing aspiration. The sentence has the register of a political statement or essay.