Do they test for and other STDs in prenatal bloodwork?

I had all of my bloodwork done thus far (I am 32 weeks) and a pap smear, but I have never before been tested for , and I didn't know if that test was included in the blood work I had done. I know some doctors typically test for STDs during pregnancy as a precaution for delivery. I've never had any signs or symptoms, but some of the stuff you read tells you HSV can kill babies if it is contracted during delivery. Just wanted to know!