Start orzo in salted boiling water; cook 10 minutes until al dente, then drain and set aside.
While pasta cooks, mince garlic and melt 3 tablespoons butter in a large skillet over medium-high heat.
Add shrimp and garlic to the pan, season with salt and pepper, and cook 3โ4 minutes per side until pink and cooked through.
Toss hot orzo with remaining 3 tablespoons butter, shrimp-garlic mixture, juice of half the lemon, and parmesan cheese.
Serve immediately with lemon wedges on the side.