Generalizing a level of intelligence for an entire race, sex, nationality, etc. is wrong. Specially because men and women apply their intelligence in different ways and fields so its impossible to measure.
Gender really doesn't have anything to do with intelligence. Women tend not to be as distracted by sex as men are, so in that way you could say they have an upper hand because they can think clearer maybe? But other then that no.
Male and female mean IQs are about equal below the age of 15 but males have a higher mean IQ from age 15 on. The effect of sex differences in IQ is largest at the high extreme of intelligence. Since many of the more prestigious roles in society are associated with high IQ, the lack of female representation in these roles may be partially due to fewer females being competitive at the highest levels. This does not mean that females should not be given equal opportunity to demonstrate their abilities as this would create an worsened artificial 'glass ceiling'. http://iqcomparisonsite.com/SexDifferences.aspx
And there are also significant IQ differences by race