Directions 1. In a saucepan, add olive oil, onion and garlic over medium heat; cook until translucent, about 5 minutes. 2. Add the potato, thyme, and broth and bring to boil. 3. Adjust the heat to maintain a gentle simmer, and cook uncovered until the potato is fork tender, about 10 minutes. 4. Add the broccoli and simmer for 3 minutes 5. Allow to cool slightly. 6. Carefully puree the soup in batched in a blender 7. Return the soup to the pot and add the half and half 8. Bring to a simmer, season with pepper to taste.