Marilyn Monroe sex vid sells for $1.5 million...Hoover tried to prove JFK was in it.

It's not like they had the internet back then. They didn't have "YouTube". I imagine it would have been incredibly difficult to have gotten that film.

Which begs the question, how did Hoover acquire it in such a manner that lead him to believe it could include JFK?

Because Hoover dispised the Kennedy's and was certain that all that was bad in the world was a direct result of a Kennedy's actions.