No. Google does not report illegal searches. ... The police and other investigators will be able to request a search warrant from a judge which can then be presented to Google. Also, a government agency is empowered to subpoena data from Google which may not necessitate a Judge's approval.

Can Googling something be illegal?

Can a Google search be illegal? Yes, some terms are illegal to Google, and your activity after these searches can be monitored by the authorities.

Can the FBI see my Google searches?

As part of a reauthorization of the Patriot Act, law enforcement agencies such as the FBI and CIA can continue to look through the browsing history of American citizens without the need for a warrant.