Preheat the Panini Press. Cut the baguette loaf into 4 equal pieces. Halve each piece horizontally to make 4 sandwiches. Brush the bread on both sides with olive oil.
Place the bottom half of the bread slices in the panini machine in a single layer. Heat until golden, about 3 to 4 minutes. Continue with the remaining top slices of bread.
Divide the cheese among the warm bread. Cover the cheese with slices of fruit. Drizzle the fruit with honey. Sprinkle with salt and pepper. Top with a handful of arugula.
Place the warmed top half of the bread over the arugula and return the completed sandwich to the panini machine for 1 to 2 minutes more to finish melting the cheese.