I agree to start with a good cleaning. Then get shooting with different loads. Personally I found the ruger MK77 to have triggers not to my liking out of the box so I would also look into either get some trigger work done by a component gunsmith or replace with an aftermarket. While bedding maybe in the future it certainly isn't something I would worry about at this stage and it may never be required.

I also agree that 1.5" groups out of the box performance with factory ammo is pretty good.A lot more common then some may have you think.