Coat the outside of the turkey with olive oil or butter and season on all sides with a spice rub. Sprinkle the spice rub mixture over the entire turkey.
Place turkey directly on the rack of the grill. Place a temperature probe into the thickest part of the breast meat and the thigh. When the internal temperature of the turkey reaches 165 degrees F, the turkey will be cooked.
Allow the turkey to rest for 15 minutes before slicing and serving.