Season the chuck roast evenly with salt, and pepper.
Heat a large Dutch oven or heavy-bottomed pot over medium heat. Add the vegetable oil. Once hot, add the seasoned beef and brown it on all sides, about 7-8 minutes.
Pour in the beef broth, scraping up any browned bits from the bottom of the pot with a wooden spoon. Add the diced onions, carrots, celery, minced garlic, and tomato paste. Stir well to combine all ingredients.
Bring the mixture to a boil. Once boiling, reduce the heat to low, cover the pot, and let it simmer for about 1 hour, or until the beef is tender.
After 1 hour, add the pearl barley to the pot. Cover and continue to cook for another 30 minutes, or until the barley is tender.
Remove from heat, garnish with chopped parsley, and serve warm.