I just answered this the other day - https://
www.medhelp.org/posts/STDs-STIs/HPV/show/3077725#post_14611213
After the first shot, she will get a good amount of immunity, and then more with the 2nd, and then a bit more with the 3rd.
Does she know you have HPV? Are you planning on using condoms? If she even has one dose, and you use condoms, that will be excellent protection.
I would suggest not getting pregnant until she is fully vaccinated, though, and you are sure she hasn't gotten HPV. It's uncommon for genital warts to cause problems in pregnancy, but it can happen.
I do hope you are planning on telling her you have this.