This is a great question - I'll do my best!!
I would say 240gsm for knit jersey would be medium-weight - think your typical cotton jersey t-shirts or knit dresses. Definitely make sure to read the description as well - a lot of good online retailers will give you an idea of what the fabric works well for. Some lighter-weight sweatshirting fabrics might fall into this range as well. So the description is your best friend
180gsm for cotton I would say is likely to be fairly heavy for a cotton I would imagine more like a quilting cotton compared to a cotton lawn which would be closer to 100gsm which is more suitable for dressmaking.
Viscose is a fairly lightweight fabric so 110gsm is about right for most viscose - a viscose twill would be heavier but still only about 140gsm
Double gauze again is a lightweight fabric - anything between 120-130gsm would be about standard.
There aren't different GSM (grams per square metre) weights for knits or woven - but the type of fabric it is would put into a different category of light, mid, or heavy-weight. For example a viscose of 90gsm is very lightweight, but a cotton jersey of 200gsm would also be lightweight due to the different properties of the fabrics. I hope that helps and hasn't confused you more!