Pesto Shrimp with Gnocchi and Asparagus

potato gnocchi

jumbo or large shrimp, (peeled and deveined)

asparagus, (ends removed, cut into bite-size pieces)

extra virgin olive oil, (divided)

unsalted butter, (divided)

lemon juice

basil pesto (more or less depending on preference)

Parmesan cheese, (shaved or grated)

salt and pepper