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Yes, the boy is called 'a/the bar mitzvah' which translates as 'son of mitzvah'. For a girl, it would be 'a/the bat mitzvah' 'daughter of mitzvah'.
Grammatically, You say B'nai Mitzvah just as you would Bar Mitzvah or Bat Mitzvah.
The plural for a bat mitzvah is a b'nai mitzvah
NO Barmitzvah's are for men. BATmitzvah's are for women
Bat Mitzvah