Combine the yeast and sugar in the warm water in a bowl. Add the warm water. Stir to dissolve and let stand for 10 minutes. (This 10 minutes is a good time to put together the filling.)
When the 10 minutes have elapsed, insert the blade attachment into your food processor. Combine the flour and salt to the bowl of the processor.
With the food processor running, pour the yeast mixture through the feed tube and process for about 45 seconds, until the dough begins to gather into small balls.
Add the oil through the feed tube and process for about 60 more seconds. If the dough isn't forming a ball, add a tablespoon or two or water and continue to process.
Remove the ball of dough from the food processor bowl. For single serve calzones, divide the dough into four equal parts.