that would be a lamination alright.
if you want to paint it, then yes, clean it up the best you can. if needs be, sand the surface a little to provide a key for any paint you will use.
if i had your cab, here is what i'd do :
1) remove any stickers or vinyl from the cab.
2) lightly sand the laminate with 180 grit ( 180 grit UK spec , USA have different grits, be aware of that ).
3) wash the surface with window cleaner.
4) lightly wash the surface using a bit of turpentine on a rag. let it dry off for an hour.
5) apply a good oil based primer ( dulux or better ).
6) after applying 3 coats of primer and sanding back any high spots, lay down 1 thin coat of top finish 8 hrs after last coat of primer.
7) apply 3 further coats of top finish ( allow 16 hours drying time between coats ), and making sure that each layer is very thin. and i mean thin, very light coats.
Optional :
if your coats are light, and the colour blending is an issue, apply further light coats until the colour is even.
if you need to sand back between layers, do so.
but the main ingredient you want in your type of paint job is the adhesion of the primer. its vital and the most important. so the prep work of the surface must be pristine for best results. if you get flaking paint or poor adhesion, then the surface of the laminate isnt suitable for painting. but follow my advice to the T and you should be on to a winner. just make sure you remove all and any dust from the surface before priming. thats why i listed you should wash the surface down twice in different liquids.