Preheat the oven to 400°F. Arrange the bread slices on a large rimmed baking sheet and brush the tops with 1/4 cup of olive oil. Bake for 10 to 12 minutes, until lightly toasted.
Toss the shallot, carrot, bell pepper, and garlic with the lemon juice and vinegar in a large bowl. Let marinate at room temperature for 20 minutes. Stir in the cannellini beans, olives, parsley, and remaining tablespoon of olive oil and season with salt and pepper, to taste. Spoon the mixture over the toasted bread slices and serve.