Heat the olive oil in a stock pot over medium-high heat. Salt both sides of the chicken, add the chicken to the stock pot and sear for about 2 minutes per side. Set aside.
Add the onion and carrots to the stock pot and saute for about 3 minutes. Add in the celery and saute for an additional 2 minutes. Add in the garlic and cook for 1 additional minute.
Add in the chicken stock, chicken bouillon cube, Italian seasoning, salt, and the whole chicken breast. Cover and simmer for about 10 minutes or until the chicken reaches an internal temperature of 165℉.
Remove the chicken breasts and shred with two forks on a plate. Add the chicken back to the soup.
Add in the noodles, cover, and simmer until the noodles are al dente (about 8 minutes). Finish with a squeeze of lemon juice, serve, and enjoy!