Preheat the oven to 425°F (220°C). Bring a pot of salted water to a boil for the tortellini.
On a sheet pan, spread the halved cherry tomatoes and broccoli florets. Drizzle with 1 tablespoon olive oil, season with kosher salt and black pepper, and toss to coat.
Roast the vegetables for 20 minutes, until the broccoli is tender and the tomatoes begin to blister.
While the vegetables roast, cook the cheese tortellini in the boiling salted water for 3–5 minutes until just al dente. Drain and set aside.
In a measuring cup or small bowl, whisk together the remaining 3 tablespoons olive oil, the juice and zest of 1 lemon, minced garlic, and sliced green onions.
Remove the sheet pan from the oven. Arrange the cooked tortellini on top of the roasted vegetables, then place the shrimp in a single layer over the tortellini. Season shrimp and tortellini with salt and pepper.
Brush the shrimp with the lemon-olive oil mixture and drizzle any remaining dressing over the pan. Tuck the thin lemon slices among the ingredients.
Return the pan to the oven and roast for 10–12 minutes, until the shrimp are opaque and cooked through.
Remove from the oven, toss everything gently to combine, then sprinkle with the chopped fresh herbs and serve.