TBH I wouldn't waste any hard-earned getting a gemologist's opinion on quartz / peridot. Both are cheap enough and it is hard-times indeed if anyone is 'pasting' these stones! Both gems can be picked up for a few pounds. A GIA cert will set you back multiples.

If you need to identify these stones, first try some prelim tests such as hardness / specific gravity / refractivity and even streak and see what these tell you and compare the cost-benefit of getting a certificate against what and why you need to know the info you're looking for.