Every pet has their own personality, but certain breeds do have certain tendencies that are more common to them. You won't be able to know if Liberty is a loud barker, until you actually hear him bark. Also "loud barking" is a very subjective thing. What is loud to one person may not be loud to another. Give her time to grown and develop into her own personality, which typically occur around 6-8 months of age.
Here is also a really neat website that lists all the personality traits of this particular breed. This will be good for your to go through to see what the Chow Chow dogs personality type is and if this is a good match for yourself and your family.
https://dogtime.com/dog-breeds/chow-chowBest wishes with your new puppy Liberty! Take care.