Hi there Clydesdale!.
It sounds like you have a pretty good idea of what to do on a job site.
And it also sounds like your Boss has a great deal of trust in your abilities.
How ever, it does make things rather awkward, should you have an accident, while working un-supervised, I'm not saying you will and I most certainly aren't wishing any accidents on anyone here, but it wouldn't look too good to any investigation.
That said, I have to agree with Ron (Norstarr), no-one does an Apprenticeship totally under the supervision of an Electrician, to even think that would be silly.
The only way you learn, is to do things and work things out for yourself, we've all had to do it.
Best of luck for the rest of your Apprenticeship!.