Toss the diced vegetables with t tbsp of olive oil. Place in an oven preheated to 400 degrees and bake for 45 minutes, flipping vegetables around with a spatula every 15 minutes.
Meanwhile, heat up the stock in a small pan over medium heat.
Heat up the other tbsp of olive oil in a larger pot over medium high heat. Once heated, add onions and stir to coat.
Saute the onions for about 3 minutes, and try not to let the onions brown.
Stir in the arborio rice and stir to coat in oil. Let the rice toast for about 2 minutes.
Pour in the white wine and stir to coat. Let the wine absorb for about 3-4 minutes.
Add a cup at a time of warmed stock to the pot. Add another once it had absorbed, for a total of 3 times. But at the last cupful, do not let but about half of the liquid absorb.
Turn off the heat, fluff the rice, and add the cheeses. Use your stirring spoon to cover the cheese in hot rice to help it melt.
Remove from heat and season with salt and pepper to taste.
The vegetables should be done by now, so pull those out of the oven.
To serve, spoon rice into a plate or bowl, and top with vegetables and additional shredded cheese as desired.