In a food processor, puree tomato until almost smooth. Add cucumber, bell pepper, garlic, vinegars, and oil and season with salt and pepper. Pulse until mostly smooth.Advertisement
Chill soup in the refrigerator 30 minutes (or up to 8 hours). Adjust seasoning; thin with water if necessary. Brush bread with oil. Serve soup drizzled with oil and topped with cheese, with bread alongside.