It is neither a curse nor a command/prescription. Only two things were cursed in Genesis 3: the serpent and the ground. Note the language carefully. Neither the woman nor the man were cursed.
God is telling them what changes have been made by their own grab for power. Instead of a spontaneous equality, husband and wife would have to produce it (their equality) by exertion. Derek Kidner writes,
"This phrase, with the reciprocating one that follows, portrays a marriage relation in which control has slipped from the fully personal realm to that of instinctive urges passive and active. 'To love and cherish' becomes 'to desire and to dominate.' Now the pull of sin will always be towards domination."
"...[A]nd he will rule over you" shows the corruption that has now entered their relationship. The wonder of marriage becomes a dysfunction of pride and power, competition and domination. Hierarchy will now be the reigning paradigm rather than the equality that God created and intends. This is not God's curse, but the inevitable consequence of them acting according to self-interest (Gn. 3.1-7). In our fallen world, those with power (typically males) will use their power to exploit and abuse those with less power (typically females and children). It is not license for male supremacy, but rather its condemnation. Subjugation and supremacy are perversions of creation.
Victor Hamilton writes,
"The wonder of marriage becomes a matter of domination. The relationship of equality is broken and it turns into one of servitude and domination."