Add the blueberries to a medium saucepan. Pour the sugar over the top. Heat on medium heat until blueberries release liquid, and the sugar dissolves- about 5 minutes.
(Optional) Blend the blueberry mixture just enough to ensure no huge blueberry chunks.
Cover the mixture and refrigerate until cold.
Mix the half and half and the blueberry mixture. Pour the mixture into the ice cream maker, and turn it on OR pour into a freezer-safe bowl and freeze until it reached the desired firmness- 2 to 4 hours.
I used 1 cup sugar and the result was quite sweet. Sugar could be reduced if you prefer a healthier treat.