How to Make It
Heat a small skillet over medium-high. Add 1 tablespoon plus 1/2 teaspoon oil to pan; swirl to coat. Add egg to pan; reduce heat to medium. Cook, without disturbing, for 4 to 5 minutes or until desired degree of doneness. Remove egg from pan, reserving remaining oil in pan. Sprinkle egg with dash each of salt and pepper.
While egg cooks, cut cucumber in half lengthwise; slice crosswise into half-moon slices to equal 1 cup, and place in a medium bowl. Cut tomatoes in half, and add to bowl. Stir in remaining 1 teaspoon oil, vinegar, and 1/8 teaspoon each salt and pepper. Gently stir in basil.
Add bread slice to oil in skillet, turning to coat. Cook over medium-high until toasted, about 1 minute per side.