Thinly slice 1 garlic clove, and set aside. Gently crush remaining clove, and rub over one side of each of the bread slices. Brush both sides of bread with 1 tablespoon olive oil. Toast slices on a grill or in a skillet over medium-high heat until golden and crisp on both sides. Transfer to a serving platter, and set aside.
Heat remaining tablespoon olive oil in a medium skillet over medium-high heat. Add reserved garlic and artichoke hearts. Saute until golden, 3 to 4 minutes. Set aside.
Season ricotta cheese with salt and pepper; spread about 2 tablespoons of mixture on each slice of bread. Top with sauteed garlic and artichokes. Season again with salt and pepper. Garnish with shaved Parmesan cheese, and drizzle with olive oil.
This is a fast, easy and very impressive appetizer! Delicious too! Combined with easy-to-obtain ingredients, I would say this is the "Trifecta" of what makes a great recipe! It will certainly become one of my "go-to's" for entertaining!