OK, so I don't use "Google" as a generic term for searching for things on the web. I usually say "web search" or similar.
But I use Duck Duck Go, and to say I "Duck Duck Went" for something is attractive, but unwieldy.
So from here on I think that when I do a web search I'll say:
"I DD Went"
(phonetically: Eye Dee Dee Went)
@ColinTheMathmo I conducted a very scientific poll about this a while back: https://old.mermaid.town/@futzle/112958541270278293
It stands to reason that the past participle is “Duck Duck Gone”.