Place sugar in a medium bowl. Grate the zest of the lemon peel to produce 2 teaspoon of zest.
Juice as many lemons as needed to make ½ cup lemon juice. Add zest and juice to sugar and mix well. Add buttermilk and salt; stir until sugar dissolves. Chill for 4 hours or overnight.
Freeze in an ice cream maker according to the machine's instructions.