In a medium pot and over medium-low heat, saute onion and garlic in oil. Once onions become translucent, add water, bouillon cubes, potatoes and broccoli, lemon juice and salt and pepper. Let boil until potatoes are cooked all the way through.
I used a hand immersion blender, but a regular blender would work fine too. With the hand-held blender, blend to the consistency that you like - I like mine with chunks of potato and broccoli. Using a regular blender measure out 2/3 of the soup and blend in the blender, and if you don't want any chucks blend the whole thing.
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Notes
If you’d like to simplify this recipe, even more, you can ditch the stove and prepare it on your pressure cooker. It will not only reduce the cooking time considerably but you can let it cook on its own and go about your day. Pressure cookers are truly life-saving when you have a busy life!