There is more daylight in June than any other month of the year.
June is one of only two months of the year that does not start on the same day as any other month.
June is the month of Father's Day and Summer Equinox, as well is LGBT Month and National Candy Month (my personal favorite).
June was named for Juno, the Greek goddess of marriage, which is why this month originally became popular for weddings.
June's flower is the rose, the flower of passion.