The Catholic Church teaches that all of humanity is equal, as all of humanity was created in the image and likeness of God. No one sex or race is above or superior to another.
The Catechism of the Catholic Church states clearly that men and women were made equal in the eyes of God, and that men and women "complement" one another. To be equal does not necessarily mean the same. To be equal means to have the same rights and nature as others.
"Man and woman were made "for each other" - not that God left them half-made and incomplete: he created them to be a communion of persons, in which each can be "helpmate" to the other, for they are equal as persons ("bone of my bones. . .") and complementary as masculine and feminine.CCC 369
The Catechism of the Catholic Church clearly sets out its stance on discrimination:
Every form of social or cultural discrimination in fundamental personal rights on the grounds of sex, race, colour, social conditions, language, or religion must be curbed and eradicated as incompatible with God's design.CCC 1935
The Church does not agree with any form of discrimination including gender discrimination. Men and women are equals and both are children of God.