And, at least in the EU, we get LLM responses (via MS Copilot) on Bing, but no "AI Overview" on Google. Though seeing how poorly Google AI Overview on search works, I'd rather not have that offered to me.
You can disable it entirely apparently. I just checked the settings on Bing and there is a "Copilot response on result page" which can simply be turned off.
That one good thing about Microsoft, they aren't afraid of offering the users settings.