The blanks used to make the Warmoth carved top les pauls, have an angled neck pocket and a thicker top. This is generally how they do carved tops, the exception being their carved top telecasters. on these guitars, they simply carve it out of a normal blank. This does not seem very difficult except that, as a result, the sides are much thinner, and I think that rear control cavity has to be more shallow so that it doesn't go all the way through this thinner body style. So you have two main options I can think of....
Order a body blank with an angled neck pocket. This would give you enough room under where the strings will be to put a carved maple (or whatever you want) cap on top, like one of those stew mac top woods. This is much closer to the way W does their LPs...
or you can order a body blank that is completely standard except that it has NO REAR CAVITY. This way you can carve the sides of the top carved-top-tele-style and then you can measure the sides to see how drill the rear cavity to the appropriate depth.
If you little to no woodworking experience and have never built a warmoth, I would certainly not recommend going through with this project. However, if you have built a warmoth, you may be ready for a simpler DIY, like a flat top made from a standard body blank. This requires you only to shape the sides, but would still be a good introduction to some more serious woodworking.
No matter what you do, I agree with bpmorton's and djf67's tips...