You don't have to yet, no. This newer piece that one of our staff just wrote after newer studies changed the protocol on this should fill you in: https://www.scarleteen.com/article/bodi ... _maybe_not
The new criteria given, when it comes to sexual healthcare, unless an issue comes up for you (or you just want to start that healthcare now), what you''ll want to do is just start getting tested for STIs in about six months, then doing that annually (assuming you don't add or change partners more often than that). Sounds like you like your GP, and yep, you can probably see her for this healthcare.
One exception, though: if you haven't already gotten an HPV vaccination, I'd suggest making an appointment to talk to her about that or start that vaccination series, especially since there isn't an HPV test for people with penises your boyfriend can take to know if he has HPV for sure. Condoms also don't protect as well with that as they do with fluid-borne infections like HIV or Chlamydia.
If *he* has never been tested, then he's overdue, so he should start his testing ASAP.
In terms of what you should do to protect yourself, the safest way to go is to have people use safer sex barriers for vaginal, oral or anal sex, and to do that for at least six months. At that point, you can both get tested, and if everyone's clear of infections they can be tested for, if you both want to stop using barriers for any or all of those activities -- you don't have to, btw, many of us often keep using barriers with partners even when we're clear of infections -- so long as you both are exclusive with each other when it comes to sexual activities, it'd then be very low risk to do that. Here's more information on that:
• All the Barriers! All the Time!
• Safe, Sound & Sexy: A Safer Sex How-To
Happy to keep talking about this or clarify anything I said: I know that's a lot of info to take in at once!