Since Sarah's anticipated cooking blog has yet to come into being, here is my attempt:

garlic
sweet onion, such as vidalia
fresh rosemary
relatively firm vegetables, such as mushrooms, green and/or yellow squash, broccoli, &c.
sweet white vinegar or lemon juice
parmesan and/or asiago cheese
olive oil or butter
salt

On medium-low heat, add olive oil or butter to the pan; add garlic & onion. Cook until onions turn translucent and caramelised.

If using mushrooms, add mushrooms and cook until the released liquids cook away. Add squash, broccoli, &c, cook down until soft & well-caramelised.

Add rosemary, vinegar or lemon juice, salt, and cook until aromatic, about one minute. Remove from heat, stir in grated cheese.

Total cooking time about 15 minutes. If you started boiling water for pasta at the same time as you started cooking the onions, it should be done just in time. Drain pasta well, toss with a bit of olive oil or butter, then toss well with the cooked vegetables.