In a large sauce pot, saute onions and garlic with water or 2 tsp olive oil.
Add vegetable stock & potatoes. Simmer for about 20 minutes until potatoes start to soften.
Add broccoli. Continue to simmer until the broccoli is soft.
Serve chunky or pureed. For a pureed soup, use an immersion blender or transfer to a blender & blend until smooth.