For sure, shoot it first to see what you've got. Then, do trigger work (if needed), followed by a close inspection of the crown with a magnifying glass and the "cotton swab test" to see if it needs work. After that, if it isn't shooting as well as you'd like, consider pillar bedding and floating the barrel. IMO, trueing the action is one of those things you really only need to do to get the last bit of potential out of a rifle, most non-benchrest folks will likely not be able to see the benefit. Finally, I'd only look at lapping the barrel if it is copper fouling really badly - I've never considered lapping the barrel as an accuracy enhancement.
Just my two cents worth.
Just a Shooter