Grease an 8-inch square pan with 1 tablespoon olive oil and set aside.
Stir warm water and honey in a bowl, then sprinkle in yeast. Let stand until foamy, 5–8 minutes.
Whisk flour and fine sea salt in a large bowl.
Pour the yeast mixture and 1 tablespoon olive oil into the flour. Mix until a shaggy dough forms.
Rest the dough for 5 minutes to hydrate, then knead in the bowl for 1–2 minutes until smoother.
Cover the bowl and let the dough rise in a warm spot until doubled, 45–60 minutes.
Preheat the oven to 450°F. Gently deflate the dough and stretch it into the prepared pan.
Let the dough relax 10–15 minutes, then press deep dimples all over with oiled fingertips.
Drizzle the remaining 1 tablespoon olive oil over the top. Sprinkle with rosemary and flaky sea salt.
Bake until golden and crisp at the edges, 18–22 minutes. Cool 10 minutes before slicing.