Preheat grill to medium-high.
Thread one piece of sausage onto a skewer, followed by 3 grapes. Repeat once mor,e and end with another piece of sausage. Repeat with the rest of the skewers.
Brush (or spray) the skewers with olive oil, and sprinkle with pepper. Grill 4-5 minutes per side, until sausage is heated through and grapes are just starting to collapse.