Combine the milk and sugar in a saucepan or skillet and bring to a boil.
Add the rice, and let boil for 1 minute.
Reduce the heat and simmer, uncovered, stirring occasionally so the rice doesnt stick to the bottom of the pan, 45 to 50 minutes.
Put the chocolate in a bowl with a strainer on top; strain the hot rice milk over the chocolate and stir until the chocolate is melted, thick and slightly cooled.