One question is what type of samples are you running?  Regulated compliance samples require different levels of QC than do in house research samples.
In house samples can get by with the standard tune built into the instrument software, EPA methods require the instrument be tuned to meet their requirements when injecting Bromofluorobenzene, for volatiles analysis.
I have never ran the Thermo instruments, and only the old 2000 and 3000 Tekmar models, so I am not much help on those.
A GC/MS system should always be left on and under vacuum so you shouldn't have to begin with startup of the instrument as a normal operating function.  You can do into as much detail as you think you need, even to the point of what icon on the desktop to click to open the software.  Most though will cover the basics of preparing the sample and standards, putting them on the purge and trap autosampler(or individual injections if no autosampler).  Followed by programming a sequence into the autosampler and the GCMS control software(since for purge and trap they are usually not linked).  Then finish with instructions on data reduction and reporting.
Learn the mechanics of it from the instrument manuals, then write up a summary of just how you do it.  If you search, some labs have SOPs listed online, especially state run labs, and you can use those as guidance to get started.  If you are totally new to the work, just start clicking on screen and pushing buttons, most things that would do harm come with a warning.  I learned most of what I know from just pushing and clicking and seeing what happened, some people are too shy to try that though 

  Training classes are great and take as many as you can get someone to pay for, but you will still have to start just going at it to really get comfortable with it.