In other words, discrimination will now be the law in that state.
And this isn't just a vote against same-sex marriage. Same-sex marriage was already illegal in North Carolina. Amendment 1 appears to also invalidate civil unions and domestic partnership benefits even among opposite-sex couples.
It appears to imply that married couples will be first-class citizens, while everyone else is second-class at best.
It will be interesting to see if any court challenges arise (and how soon).