First, get your oven ready by preheating it to 375°F (190°C). While it heats up, arrange your baguette slices in a single layer on a large baking sheet. Lightly brush each slice with a bit of olive oil. This will help them get golden and perfectly crisp.
Place the baking sheet in the preheated oven. Bake the baguette slices for about 10-15 minutes. You'll know they are ready when they turn a beautiful golden-brown color and are crispy to the touch. Keep an eye on them to prevent burning.
While your crostini are in the oven, it's time to make the tapenade. In the bowl of a food processor, combine the pitted Kalamata olives, green olives, drained capers, anchovy fillets, and minced garlic. This combination is the foundation of your spread's incredible flavor.
Pulse the mixture in the food processor several times. The goal is to get a finely chopped, coarse texture, not a smooth puree. You want to see the individual components. This texture makes the tapenade much more interesting and satisfying to eat.
Transfer the chopped olive mixture to a bowl. Gently stir in the fresh lemon juice, extra virgin olive oil, and chopped parsley. Give it a taste and season with a small amount of salt and pepper if needed. Serve the tapenade in a bowl alongside the warm, crispy crostini.