So black people didn't have the right to vote in the land of the free until 1965?

That is not a correct statement but in 1965 there was a law passed called the voting rights act of 1965. The act contains numerous provisions that regulate election administration. Outlawing things like various voting restrictions, including literacy tests, poll taxes, property-ownership requirements, moral character tests, requirements that voter registration applicants interpret particular documents, and others.The 15th amendment gave blacks the right to vote in 1870 in the land of the free as you call it.