In a medium pot, bring the water to a simmer over medium heat. Add the sugar and the strawberries and cook for about 25 minutes, stirring often. Remove the heat. Carefully, puree the strawberries in a blender or food processor. Add the puree to a small bowl. Stir in the black pepper.
Use to top meat or as a spread on sandwiches. If not using right away, transfer to a small jar. Refrigerate until ready to be served and up to 2 days.