That is a stainless bull barrel with stainless barrel extension. A chromed barrel and chamber would usually have a dull gray ring around the mouth of the chamber. The lugs and remaining parts would be phosphated.
The fact that your lugs are shiny, as well as the entire chamber/extension area and the barrel itself, strongly suggest this is a stainless match barrel. It is likely a very accurate rifle; but will sacrifice a little in the way of reliability in order to get that high degree of accuracy. I wouldn't worry about the lack of chrome-lining though, it is likely still plenty reliable.