Btw, note that "Gorilla Glue" is both a brand name and the name Gorilla Glue called their first glue (a polyurethane glue, I believe). But the company called Gorilla also puts out other glues including at least one instant glue (cyanoacrylate glues like the brands Krazy Glue, Super Glue, etc).
You'll need a glue that is "for" both porous and non-porous materials and that will be strong enough to hold 1 lb weight. You could at least make that non-porous to non-porous if you sealed the wood with something like polyurethane, etc.
For instant glues btw, the two surfaces need to match exactly although the "gap filling" ones would work a bit better if they were only closely matched.
There's also the question of color. Will the plastic be transparent or even translucent so that the color of the glue or its placement would be obvious and a problem?
Also, regular Gorilla Glue swells while curing so parts need to be weighted or clamped and any excess glue that swelled out wiped off before it sets.
Having a mechanical holding both pieces would be better, like the screws mentioned by Anonymous, or clamps on the outside edges (some are even sold for picture frames I think), or some kind of decorative tape on the outside edges, etc.