Preheat your oven to 375°F (190°C) and let the pizza dough sit at room temperature for about 30 minutes.
In a mixing bowl, combine the room temperature butter, minced garlic, chopped parsley, basil, rosemary, and thyme. Mix well until all the herbs are coated.
Roll out the fresh pizza dough into a rectangle about 1/2 inch thick, then cut the dough into squares, roughly 2 inches by 2 inches.
Spread a small amount of the herb and garlic mixture on each square, add a pinch of shredded cheese, and stack another square on top. Repeat until you have a stack of squares, then place them upright in a greased baking dish or on the lined baking sheet.
Cover the dough stacks with a clean kitchen towel and let them rest for about 15-20 minutes. Bake for 25-30 minutes or until golden brown and the cheese is bubbly.
Let the bread cool for a few minutes before serving warm, pulling apart each piece to enjoy the gooey cheese and herbs.