Place the green garlic, spinach, walnuts and cheese in a food processor. Pulse for 5 to 10 second intervals about 10 times, until the greens and walnuts are chopped fine.
Turn the food processor to low and slowly poor the California Olive Ranch extra virgin olive oil in through the food chute. Process for 10 to 15 more seconds, until everything is blended. Turn off the food processor, remove the lid and scrape the sides of the bowl.
Add the salt and pepper, replace the lid and pulse a few more times to ensure all ingredients are chopped fine and blended together.
Transfer the pesto to a bowl and drizzle with more California Olive Ranch extra virgin olive oil before serving.