The simple answer is yes a female should be paid the same, but often this is not the case.
Explanation:
Morally, yes a female with the same qualifications and experience should be paid the same salary as the counterpart prior to her, though it is not a law that there can't be a wage gap between women and men and this is most commonly not a reality. Women are often paid less than men with the same degree, qualifications, and experience, especially if the woman is part of a racial minority, or in a male dominated industry. Often, employers are able to find loopholes and reasons, "justifying" this unjust wage gap.