Tolley,
It depends. I have shot synthetic stocked rifles (custom remingtons and sako 75 synthetics) and they always seem to me to resonate when shot.
Personally I much prefer the look and feel of wood and if I was going for an all weather / stainless rifle I would lean towards a wooden laminate rather fibreglass stock.
Also Fibreglass will generally be lighter in weight to wood - and that lack of weight is probably more of a contributor to recoil than anything to do with the material.
To be honest I would think that provided you go for a fairly standard deer cartridge - 243, 6.5, 7mm or .30 at non magnum velocities felt recoil is probably six of one and two threes and differences are probably more to do with weight / brand of rifle than anything else.
My Heym SR20 in 243 doesn't recoil very much - classic straight stock and 8.5 lbs all up, but have also used a friends Ruger lightweight mountain rifle 6.5lbs and short stock as well and heavy trigger and certainly seems to jump around. Likewise another friend has a Sako 75 also in .243 and a bit lighter in weight, but it has a Monte Carlo stock and rather than recoil straight back it seems to kick upwards a bit more.
I once shot a heavy barreled Tikka in .308 - but they way the scope was mounted it wacked me between the eyes on the first shot - and that hurt.
If you are at all worried about recoil - get a .22 rf as well and shoot it a lot, and if you are having a practice session shoot it first, have a few shots with the centre fire and then finish off with .22 rf- that way your muscle memory will remember the low recoil and you will not develop a flinch / fear of recoil.
And practice shooting off sticks as you would in the field, rather than off bipod or bench.