In brief, Catholics believe men and women differ in some aspects but have equal dignity before God. The differences aren’t so stereotypical as saying sewing is a woman’s chore and repairing appliances is a man’s chore. Differences like that are more cultural and can evolve over time. Furthermore, it’s not a woman’s life purpose to find a man and marry him. That’s not to say Catholic culture has always been perfect in this regard, but from a doctrinal basis, marriage is just one vocation for a man or woman to pursue. The single life, even consecrated single life, is valid for both men and women. And the Church has also celebrated many women throughout its history as saints.
That probably doesn’t answer everything, but I know women who have come from Protestant backgrounds who were basically raised being told it’s their duty to marry a man and be meek and submissive in everything and the best thing they could hope for was to be a preacher’s wife. Whatever can be said of men and women in Catholicism, that is not a woman’s “duty” here.