As a given name for girls, it received some public attention from a character in the 1958 novel Parrish and the 1961 movie adaptation [1]. It experienced a larger surge in popularity in the 1980s, probably due to the character Paige Matheson from the American soap opera Knots Landing.
As an English name, Monica has been in general use since the 18th century. In America it reached the height of its popularity in the 1970s, declining since then. A famous bearer was the Yugoslavian tennis player Monica Seles (1973-).