Since you said you've only had one outbreak I am assuming you are asking how long it will take to eradicate the virus from your body completely.
As far as i know there are no confirmed reports of people removing the virus completely using MMS. The only way to tell would be a lab test, which tests for antibodies, not the actual virus. The antibodies would still be there even if the virus was no longer in the body.
From anecdotal reports on this forum and elswhere over the years my understanding is that MMS helps with shortening outbreaks and preventing future outbreaks, but not actually eradicating the virus completely. That's due to the fact that herpes doesn't stay in the blood, but rather the nerves which are deeper and harder to get to.
For HSV1 it is said that the virus goes dormant around your spine in the upper back/ neck area. I have no idea if this is actually true or just one of those "scientific facts" that everyone knows. If it is true, rubbing MMS and DMSO into the back of your neck and upper back might be a good idea.
I believe Mark Grenon has developed a protocol for herpes which he claims has been successful at completely eradicating the virus, but that involves more than just MMS. I don't know the protocol and I don't know if he's made it public.