Pour 3/4 cup warm water into a large bowl. Sprinkle 1 1/2 teaspoons dry yeast over the water, stir to blend, and let stand 10 minutes to dissolve and proof the yeast.
Add 1 tablespoon extra-virgin olive oil, 1 teaspoon salt, 1 teaspoon whole fennel seeds, 1 teaspoon dried thyme, and 1 3/4 cups unbleached all-purpose flour to the bowl. Stir until the mixture is well combined (the dough will be sticky).
Turn the dough out onto a generously floured work surface and knead until smooth and elastic, about 5 minutes, adding just enough additional flour to prevent sticking. Shape the dough into a ball.
Place the dough ball in a large lightly oiled bowl and turn it to coat. Cover the bowl with a kitchen towel and let the dough rise at cool room temperature until doubled in size, about 1 to 2 hours.
After the dough has doubled, punch it down and form it into a ball. Return it to the bowl, cover with the towel, and let it rest for 30 minutes. Meanwhile preheat the oven to 425°F.
On a floured work surface, place the dough ball and cover with the towel; let it rest and relax for a few minutes if needed, then roll out the dough to a 13-inch round.
Sprinkle a rimless baking sheet with a little flour and transfer the rolled-out dough to the sheet.
In a small bowl, mix 2 teaspoons olive oil with 2 teaspoons minced fresh rosemary (or 1 teaspoon dried rosemary) and 3 cloves minced garlic; set the garlic-rosemary oil mixture aside.
Bake the crust in the preheated 425°F oven for 5–7 minutes, until the crust is just set but not browned.
Remove the parbaked crust from the oven and brush with half of the garlic-rosemary oil mixture (about 1 teaspoon). Reserve the remaining half for after the toppings are added.
Top the crust evenly with the drained artichoke hearts, 3 slices oil-packed sun-dried tomatoes (drained), 10 pitted and halved kalamata olives, and 2-1/2 ounces soft goat cheese (sliced or crumbled). Drizzle the remaining garlic-rosemary oil over the assembled pizza.
Return the pizza to the oven and bake 15–18 minutes, or until the crust is crisp and the goat cheese begins to brown.
Transfer the pizza to a cutting board, cut into wedges, and serve warm.