Pregnant and STD’s

So, my ex just told me he got tested positive for chlamydia and HPV. I don’t have any symptoms but I’m kinda worried that if I DO have them too, they will affect my unborn baby. I know I can get treated for chlamydia but the genital herpes doesn’t have a cure and could be passed to the baby during birth....

Will they be able to find them through my first lab work??