You can get oral HPV, but it doesn't give you visible warts. You'd get the strains that don't present with warts, and are associated with cancer.
Before panicking, though, oral cancers are not common, and if you don't smoke or drink heavily, the chances of oral cancers are low.
You can get gonorrhea, chlamydia, and syphilis from giving oral sex. The chances are higher if you perform oral sex on penises than on vaginas, but it's still possible on vaginas.