In a large bowl, combine half & half with sugar; stir until granulated sugar is dissolved. If using an electric mixer, it should take about 1-2 minutes on low speed.
Pour mixture into ice cream maker. Follow the instructions provided with your maker. Ice cream will usually solidify after about 20-30 minutes of agitation. For a firmer consistency, transfer the ice cream to an airtight container and store in the freezer for two or more hours.