If you're working with another ASM, it wouldn't hurt to sit down with them briefly before a run and ask them what things you need to be aware of in this show, i.e. are there any quick-changes in the wing you're managing, props that need to be caught, a specific traffic pattern. This way a channel is opened up for you to lean the pattern and duties from a professional while having some independence in an authority position along the way.
If you are not, the same could be asked of the stage manager [if there is any time]. What sort of show is it? That would help narrow your inquiries down.