They have a tool called a planisher that is being used to smooth the weld joints. Just recently saw a post comparing welds before and after the planisher, did not save the links alas.
The welds are a weak point, since they get heated more than the surrounding metal and this metal is cryoformed. (In fact they actually do the pressure test with cryo Nitrogen to restore some of the materials strength).
The planisher tries to smooth down the welds and keep it smoother and stronger.
But no, since it is made of rings, you will probably always be able to see the ring lines at a minimum.
More interesting is that the stringers welded into various sections have tack marks on the outside that are likely not to go away.
You can however see differences in the fairing section versus the tank sections. Much cleaner on the fairing section.