Most Helpful Guy
In my experience, no, it won't go away. I happened to me and it was an awful relationship. I didn't snoop but I found out by accident she had been telling a lot of lies, I lost trust on her and the relationship went south from there.
As for your last question, it all depends on how much you see each other, talk to each other and the experiences you shared. One year might not be enough and one month might be plenty of time.