Place coffee grounds in basket of a French drip coffee pot. Pour boiling water, a few tablespoonfuls at a time, over coffee grounds. Continue process until all water has dripped through grounds.
Bring cream to a boil.
To serve, pour 1/2 cup coffee and 1/2 cup cream in a serving cup. Add sugar, if desired, stirring well. Serve immediately.
Note: For Café Noir, omit whipping cream.