Is Illuminati and Bohemian Grove the same?

No.

The Illuminati was a short lived semi-secret organzation that ended in 1785.

Bohemian Grove is a 2,700 acre private campground in Monte Rio, California, privately owned by San Francisco based Bohemian Club, founded in 1878.

Almost one hundred years and nearly half a world separates the two. Also the fact that Bohemia Grove exists and the Illuminati does not.