What is the difference between Search and Organic traffic?

Question

Google Analytics

Do I understand correctly that:
Search = Organic from the search is free + paid Context from the search?
Organic = Only free organic traffic from SERP referrals?

Answer 1

If you use these segments from ready-made sets, then Organic is traffic in which the channel (or utm_meidum) corresponds to "organic", and Search - where the channel is equal to one of "(cpc|ppc|cpa|cpm|cpv|cpp| organic)".
That is, in principle, you understood correctly. Organic is always free search results. Search is organic plus contextual and display advertising from a search engine.

Answer 2

organic - free search