Preheat your oven to 375F and line a baking tray with parchment paper.
Cut all of your vegetables and put them on the tray, not overlapping. Cut the top off the garlic head and wrap in tin foil with a little olive oil on top. Drizzle the rest of the veggies with olive oil, oregano, salt, and pepper.
Stick in the oven for 45 minutes. Let it cool for 5 minutes then add the veggies to a blender with the beans, vegetable broth, and more salt. Squeeze out the garlic from the head into the blender (it shouldn't have much resistance).
Blend until smooth. Reheat on a stove and serve with a crunchy, gooey grilled cheese!
You can keep leftovers in the fridge for up to 4-5 days in Tupperware or in the freezer for up to 2-3 months.