What steps do I need to take to turn my conversion kit into a dedicated upper group?

You will need a barrel and a barrel collar. The barrel collar replaces the chamber adapter on the conversion kit, turning it into a dedicated bolt group. Here is a link to a video that teaches you how to disassemble the 22LR kit and reassemble it.

The only difference in the reassembly portion is that you would substitute the chamber adapter for the barrel collar at that point.