Thinly slice the peppers. Slice the onion. Cut the carrot into thin rounds, on the bias. Cut the broccoli into small florets.
Toss the vegetables in a bowl with 1 tablespoon olive oil and the oregano, kosher salt and plenty of fresh ground black pepper.
In large skillet*, heat the remaining 1 tablespoon olive oil over medium high heat. Cook for 10 to 12 minutes until tender and lightly charred, stirring occasionally. Taste and add a few pinches of additional salt to taste. Serve immediately.
