Yes, a Hugelbed uses cold composting. There is no need to do any turning. The wood will slowly decompose in a trench that you dig.
To paraphrase the first four instructions given by Sepp Holzer in his book "
Desert or Paradise" page 132:
Dig a trench of about 1.5 meter wide. You can make it any length you like..
The depth should be 30 cm deep when you have clay soil and 70 cm deep for very sandy soil. You put the soil and turf aside. Fill the trench with a mixture of rough and fine organic material like wood, twigs, branches and leaves up to a height of 1 meter. You can use part of the soil to fill up air pockets. When the organic material is dry, add some water when you are building the bed. When you reach a height of 1 meter add back the turf with the roots up, and then the soil up to 1.5 meter high. In case you have no turf, just forget about it
If the ground is very wet, then to prevent rotting (anaerobic) don't dig a trench and build the bed above ground level. In this case you will have to get the soil to cover the bed from somewhere else.
To prevent the Hugelbed from drying out, you mulch it after sowing your seeds.
I would recommend to do first create an 1 meter wide test Hugelbed of 1 to 1.5 meter long. Then you get some experience with how much organic material you need.