Preheat the oven to 425°F.
In a bowl, toss the shrimp with 2 tablespoons of pesto, a generous portion of olive oil (1-2 tbsp,) the grated garlic, and a generous pinch of salt. Toss together. Let it marinate while preparing the vegetables. Use this marinating time to wash and prep the asparagus.
On a sheet pan, toss the gnocchi, whole cherry tomatoes, and asparagus with a generous amount of olive oil, a generous pinch of salt and black pepper. Spread into an even layer on the sheet pan.
On another sheet pan, scatter the marinated shrimp in an even layer. Cook time depends on the size of the shrimp.
Place both sheet pans in the oven and roast for 15 minutes. At 7/8 minutes, check on the shrimp to see how they are doing. If they’re bright pink and opaque, they’re probably done! You can remove them from the oven and let the other tray continue roasting until the gnocchi is slightly crisp and tender.
Remove the shrimp, gnocchi and veggies from sheet pans and add everything to a large bowl. Toss together with pesto. Adjust to taste.
In a salad bowl, toss the arugula with olive oil and balsamic vinegar.
To serve, plate about 1 cup of salad per person. Add the gnocchi/shrimp/veggie mixture to the bowl. Top with torn burrata and a generous drizzle of balsamic. Finish with a pinch of salt and crack of black pepper and enjoy. If using fresh basil, garnish with fresh basil.