Preheat oven to 400 degrees. Line a large rimmed baking sheet with foil. Divide dough into 4 pieces. On a lightly floured work surface, stretch out each piece, first to a 3-by-4 inch oval, then to a 6-by-8-inch oval (let dough rest briefly if too elastic to work with).
Place broccoli in a strainer, and press to remove excess liquid. Transfer to a double layer of paper towels, and pat dry.
Dividing evenly, scatter broccoli over dough, leaving a 1/2-inch border. Sprinkle with garlic, and season with salt and pepper. Dividing evenly, top with mozzarella, salami, and 1/2 cup marinara.
Starting at a shorter end, roll up each stromboli, and place, seam side down, on baking sheet. Using the tip of a paring knife, cut two slits in the top of each. Brush with oil. Bake until golden, 25 to 30 minutes. Serve stromboli with 1/2 cup marinara for dipping.
Roll up the stromboli, tucking in the filling as you go. Thereās no need to crimp the ends.
Martha used homemade Pizza Dough, 1 (1-pound) bunch broccoli, and 1 1/2 cups prepared marinara. To prepare the fresh broccoli, bring a medium-size pot of water to a boil. Prepare an ice-water bath; set aside. When water comes to a boil, salt generously and add broccoli. Cook for 2 minutes. Remove and transfer to ice water bath until cool. Remove and pat dry. Chop into 1/4-inch pieces.