Some of the attitudes on here are hilarious.
OP chlamydia can be easily cured with antibiotics, so once it's been killed off it should be fine, and tbh it should scare her into being more careful. Chlamydia is the most common in the UK, I don't know about USA, but this is mostly because it often has no symptoms, but left untreated it could lead to infertility. The fact she told you is a damn good sign, only immature people would put theirs and others health at risk by not getting tested and not saying anything to prospective partners.
Herpes however, they are just like cold sores. So I really wouldn't advise doing stuff with her whilst the sores are flared up, even using a condom, it's the contact with the sores (they could be inside or out) on your skin that puts you at risk of catching it. Like cold sores, if they aren't up then you shouldn't be at risk for catching it, but be wary that if the sores are inside her then you aren't gonna see if they are up or not. However with them being inside her, a condom should protect you from them.
Personally though I would always use a condom anyway, and I wouldn't have sex with someone with an STD, even though you can do it relatively safely in some cases. But even if I use a condom I take an STD, it's not that much effort, although I suppose it depends how much sex you're having or how many different partners. Although I think I'm overly cautious with tests and contraception, the only time a guy has *** inside me was when I lost my virginity, I wanted the first time to be the whole shebang but since then I've never let a guy *** inside me, even with condoms. But the guys I have slept with just think I have a fetish for cumming on my face or body, when really I'm saving it for the kind of guy I could spend the rest of my life with and also making damn well sure there's no chance of me getting pregnant.