The virus got transmitted not through but around the condom, which did reduce the likelihood of transmission. Your immune system may clear it (rendering you disease-free) or it may not, in which case you may always be contagious from the area of the wart. Treating the warts won't cure you, but may lower the chance of transmission, which may in turn help to make you feel less leper-like and more like your old self. Oh, and lest we forget, visible warts are the good kind of HPV! The ones that cause cervical cancer are invisible, the bastards.
Now for the bad part you do have to tell people. You have to tell potential sex partners. You may lose some, but people who are really interested are likely to stick around. You have to tell the boyfriend. Since you just found out, you can't be accused of withholding important information. Normalize for him, and bring up the CDC's statistics (50 percent! How's that for company?). Get treated. Take deep breaths.
Contact Andrea at firstname.lastname@example.org for more info.