Generally veneers will not take 90 degree bends so all the flat faces will normally be individual pieces of veneer.
If your thinking about trying a couple of tips before you start.
Spend some time considering the order of the pieces are to be applied so the grain matches and follows round to the next face or on to the tops. Mark each piece with some pencil on tape top, bottom, back, front, side 1,2,3 etc. This prevents accidently Gluing a side on the wrong way round.
It will help with aesthetics and minimise seeing edges if you apply the veneers a set way starting with the back face then the two sides followed by the top edge and finishing with the front piece.
Gluing the veneers on is the easiest bit. Very sharp tools are essential for cutting and trimming the veneers care must be taken to cut and sand in the correct directions to help avoid splitting off or tearing of small sections from the edges. If you prepare well work methodical and take your time the results should speak for themselves.