There are two kinds of HPV, high-risk and low-risk. High-risk strains are the types that would show up on an abnormal pap, and low-risk ones cause genital warts, so you shouldn't get warts unless you also have a low-risk strain.
Unfortunately, you probably have passed it to your boyfriend (or he's the one who gave it to you), but men almost never have any symptoms from high-risk HPV except for some extremely rare cases of anal, throat, penile cancers, etc. There's no test for high-risk HPV in men though, so it's really hard to say.
Since you do have high-risk HPV, it's also very important that you follow up with all of your regular exams to make sure any changes don't develop into cervical cancer.