This is Bob's list:
If I were leaving home to go to orientation and then get in a truck for a few weeks without going home again I think I would take as much as I could. Aside from clothing for at least a week and toiletries, there is not much one cannot buy on the road as far as supplies are concerned. I would take a small tool box with some basic tools. Screwdrivers, flat and Phillips, pliers, a hammer, an adjustable wrench and a set of open end wrenches, a set of Allen wrenches, SAE and metric, a set of Torx wrenches and a box cutter of some type. A socket set, 3/8 drive, deep, metric and SAE. A good tire pressure gauge, dual head, up to 150 PSI, is a must for pre trip inspections. A 25 foot tape measure is something I use pretty regularly but not a must have.
In order to fix lights I would take a circuit tester, wiring pliers, a small assortment of wire ends, electrical tape and some spare fuses. All of this can be purchased on the road but if you have it at home and don't want to double up on tools, bring it from home.
A good pair of coveralls, insulated for winter, regular for summer. A good warm hat. A pair of gloves for fueling, I am partial to well fitting leather gloves but it's your choice, they will get fuel on them so whatever you like. I have a pair in the back of the truck for handling freight and load bars also.