Yes, with both my pregnancies I have been std checked as routine. Can't be certain of everything they tested but I know they checked for HIV, syphilis and clamydia. Possibly others as well. All were done with blood tests at booking in appointment at 10 weeks. No swabs taken
National screening offers you HIV, rubella, Hep B and Syphillis, chlamydia screening offered if you are under 25. That's in the UK, also a Full Blood Count to check anaemia and a Group and Save to have your blood group on file. Vaginal swabs are not routine in the UK.