Remove and discard upper third of garlic stalks; (green leaf ends) thinly slice bulb.
Heat olive oil and 1 tb butter until beginning to foam. Add garlic; saute 1-2 minutes. Reduce heat, cover tightly, and cook 15-20 minutes, stirring occasionally.
Spread bread with 2 tablespoons butter; oven toast until lightly golden. Add broth to garlic, season with salt and pepper and bring to a boil. Ladle into 2 oven-proof serving bowls; cover with toasted bread and top with cheese. Dot each with a teaspoon of butter.
Bake at 450 degrees for 10 minutes, until cheese has melted and begun to turn golden.