In OpenZeppelin's governance framework, is there a way to check the currently ongoing votings?

I see that _proposals is a mapping(uint256 => ProposalCore). One would need to look through events to find out all the votings that are ongoing in this case?

Yes, it's necessary to consume the events. The best way to do it is through The Graph. We have tooling to build a subgraph for a governor, see OpenZeppelin Subgraphs.

Thank you! Going to look into it.