Preheat oven to 400 degrees F and line a baking sheet with parchment paper.
Combine the rinsed rice, water, and olive oil in a pot and bring to a boil. Cover, reduce the heat to low, and simmer for 45 minutes. Remove from heat. Leave covered until ready to serve.
While rice is cooking, toss the broccoli florets with olive oil, salt, and pepper, and spread evenly on the baking sheet.
Roast 10 minutes. Add in carrots and roast for an additional 5 minutes. Next, add in 1 cup of walnuts and roast an additional 7-10 minutes, until lightly toasted.
Prepare the sauce: in a small bowl, combine tamari and red chili sauce.
Once the vegetables are done, fluff the rice with a fork and serve 1 cup of rice with veggies, divided evenly. Drizzle sauce on top. Add sesame seeds and green onions.