I'll break it down.
Clay bar and lube;
Takes the surface contaminants off the paint, such as tree sap, tar, industrial fall out.
A Random Orbital Polisher/Sander;
Machine that rotates in a variable way, meaning you won't add most scratches 'swirls' as you polish.
Cutting pad;
A pad for the polisher made from hard foam.
Finishing pad;
A pad for the polisher made of soft foam.
3M Fast cut plus;
A fairly hardcore polish, with a high cutting rating, to be applied with a cutting pad. It will get deep marks out but it'll make its own marring as you go along. It also makes a lot of dust.
Dodo Juice Lime Prime;
This is sold as a paint cleanser, but it works very well as a polish, it will remove the marring from the paint made by the 3M polish, and it'll give you a great deep shine.
JetSeal,
A 'sealant' that's applied to the paint after polishing to create a good base for a wax.
Collontie 746s wax;
Sold as a permanent wax but it'll only last about 2-3 months in winter, it doesn't give a very good shine but it does protects the paint well.
In summer I'd use a different wax.
Here is a car I basically gave the above treatment too.
Any some work on a black C2.
From this
To this (thats not me haha)