Mike - I don't know about your car specifically, but it was common during
those years for GM to use clips to hold trim panels like this in place.
They're a spring steel clip. Before trying to pry anything off though,
double check common screw locations like inside the glove box, in the area
of the cigarette lighter in the ashtray, etc. for screws. More likely, it's
just clipped in. Start at an end such as the glove box end and try to pry
the panel away. Slow and easy. Movement is more of what you're looking
for, than an actual release, as you may have to pry it a bit, and move down
a bit and pry again, before the first clip will pop free.
When all else fails - local body shops are an excellent resource for this
kind of information. They have to work on this stuff all of the time and
will gladly tell you how it comes off.
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