Bring a large pot of salted water to a boil over medium-high heat. Keep the water at a boil until you’re ready to cook the gnocchi.
Add the pine nuts, garlic, and lemon juice to the bowl of a food processor and pulse until they are broken up, about 10 pulses.
Next, add the basil and parmesan and pulse until the basil is broken into small pieces, about 10 pulses.
With the food processor on low speed, slowly drizzle in 1/3 cup olive oil.
Season with salt and pepper to taste.
Heat the remaining 2 tablespoons of olive oil in a large skillet over medium heat.
Add the asparagus and cook for 2-3 minutes, or just until crisp-tender.
While the asparagus cooks, cook the gnocchi for 2 minutes less than the time on the package. My gnocchi usually takes 6 minutes to boil, so I cooked them for 4 minutes.
Reserve 1/2 cup of the gnocchi cooking liquid and then drain the gnocchi.
Add the gnocchi to the skillet with the asparagus.
Add the pesto and 1/4 cup of the reserved cooking liquid. Stir to combine and cook for 1 minute, just until the pesto sauce thickens and evenly coats the gnocchi. If the sauce is too dry, add the remaining 1/4 cup of the reserved cooking water.
Season with salt and pepper and serve warm, at room temperature, or place in the fridge to chill.
This gnocchi is delicious at room temperature, warm, or cold! Top with flakey sea salt, toasted pine nuts, and fresh basil, if desired.
Store any leftovers in an airtight container in the fridge for up to three days.