My understandings on the Fediverse is unclear right now. Will you be able to search for posts just as in stack overflow and reddit right now?
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You should be able to eventually, although it might take a little bit of time for search engines to catch up and start indexing the relevant pages.
This has been discussed before in a few places. https://fedi-search.com/ seem like the site you are looking for. Full credit to Benjamin Pryor