Aromatics: Warm the oil in a large pot or dutch oven over medium heat. Add the onion and sauté for 3 minutes, stirring occasionally. Add the garlic, dill, and parsley and sauté for 1 minute.
Simmer: Add the peas, coconut milk, and vegetable broth to the pot and bring to a boil over high heat. Reduce the heat to medium and simmer for 6 to 8 minutes, stirring occasionally.
Blend: Use an immersion blender to puree the soup, or transfer to a blender with a venting lid and blend until smooth. Season with salt and black pepper to taste, as necessary. Return the soup to the pot and reheat over low heat, if necessary.
Serve: Ladle the soup into serving bowls and top with fresh dill and black pepper, or as desired. Leftovers will keep in the refrigerator for up to 5 days, or in the freezer for up to 2 months.
