How long does it take to be cured of hep b?

No cure: It's uncommon to be completely cured of hepatitis b. One achievable goal is to go from having a positive hbeag to a positive hbeab ("e antigen" to "e antibody" conversion) with treatment, which means your virus is less active and less infectious. A small number of people convert from HBsAG to hbsab ("surface antigen" conversion), which is about as close as you get to a cure.