Doubt it. I don't think In-Q-Tel/CIA will write you a check because you just happen to have this shiny new search engine that may or may not change the world.
https://www.cia.gov/library/publications/intelligence-histor...
"Close" does not mean part of the organisation. The founder Norman R. Augustine isn't even a CIA person. It is somewhat similar to a spinned-off company which runs independently but has tight connections (and a contract, in case of In-Q-Tel) with the organization that spinned it off.
* In-Q-Tel (theoretically) may have other contracts and major partnerships.
* In-Q-Tel gets to pick who they invest into; CIA may express interest in a particular area or a company but In-Q-Tel manage their portfolios.
* While In-Q-Tel is non-profit, the profits flow back and the employees may profit from it. Meaning, while part of the funds come from the CIA (taxpayers), part come from the past profits.
More detail to those interested in law: https://scholarlycommons.law.northwestern.edu/cgi/viewconten....
It's fairly unusual for the US, but similar structures exist in countries trying to nurture their startup ecosystem.