There’s no need to do this unless there’s a chance that baby will have a stay in NICU and/or you will not be able to breastfeed baby in the hospital for some reason. You want to latch baby immediately after birth and they will receive the colostrum they need then.
I never harvested colostrum, I would feel nauseous like this while breastfeeding, and it was because 1- I was dehydrated, and you need to drink so much more water to produce breast milk (especially high fat colostrum) and 2, I am severely anemic and didn't know it at the time, so he was taking all of my energy and nutrients, and water supply.
I’d probably talk to your OB. I didn’t harvest colostrum but I haven’t heard of this happening before and just wouldn’t want you to have any issues!