Heat olive oil in dutch oven on medium heat. Add stew meat. Cook until browned, but not cooked through. Remove onto paper towels.
Add more olive oil to pan then add onion and cook for a couple of minutes. Add carrots, celery, red pepper, green beans, broccoli, salt and pepper and cook for 5-10 minutes. In last few minutes, add garlic.
Add beef and vegetable stocks, tomatoes, Italian seasoning, parmesan rind and bay leaves. Reduce heat to a simmer, cover and reduce heat. Continue simmering for 30 minutes.
Adjust seasonings and add corn and peas. Continue to simmer 10-15 minutes.
Serve garnished with shred parmesan and chopped parsley.