What does it weigh? Any .308 over 7-1/2 to 8 pounds won't have notable recoil. Well, not to me, at 6' and 175 pounds...
To generalize: Most semi-autos seem to have less perceived recoil than bolt actions of equal weight. Other than the 7mm Mag, hardly any cartridge under 30-caliber in a rifle of around eight pounds is bothersome. The .308 is sorta betwixt and between, with a .30-'06 and 180-grain bullets as the beginning of "noticeable" recoil. More than that, and nine pounds and up starts getting more attractive. But 10 to 11 pounds starts being un-fun to carry in the field.
Now, all this is just generalizing. I don't mean it as "take it to the bank" stuff.
Away from a bench rest, lots of thumpers' recoil is not noticed if the target is Bambi, an elk, etc. Adrenaline is a wonderful recoil-reducer.
, Art