Preheat a grill or grill pan over medium heat.
Bring the strawberries, sugar, and water to a simmer over medium heat in a saucepan. Cook until the strawberries become very soft. Place in a blender or food processor and blend until smooth. Refrigerate or place in the freezer to cool, stirring occasionally to release any steam. Once it is cooled down, whisk in the lemon and vinegar. Season with salt and pepper to taste.
Season both sides of the chicken well with salt and pepper. Drizzle with oil on both sides and cook golden brown on both sides to an internal temperature of 160 degrees. Once cooked, set aside to rest for 5 minutes before slicing.
Lay down the bibb lettuce, top with chicken, tomatoes, cucumbers, pecans, and goat cheese.
Drizzle the dressing over top of the salad (about 1 tablespoon of dressing per portion or more if desired). Serve with bread.