Dice bell pepper in 1/2-inch pieces. Cut remaining garlic cloves into thin slivers. In a large skillet over medium-high heat, heat the olive oil; add the mushrooms and cook, stirring occasionally, until they soften and give off liquid, about 5 minutes.
Stir in bell pepper and garlic slivers; cook until vegetables are tender, about 5 minutes longer. Reduce the heat to medium-low. Stir in the flour, salt and pepper; cook, stirring, until incorporated, about 2 minutes; add the half-and-half and bring to a simmer. Divide the hot mushroom mixture evenly over each bruschetta and top with the remaining Grana Padano shards.