You can get rid of your cold sore by applying some lysine, abreva or even some Orajel to the cold sore.
I prefer using the baby Orajel on my cold sores since it has a much better taste in case I were to accidentally lick it and the Baby Orajel will also cause your cold sore to go numb and stop hurting and should be gone within a day or two.
If you don't treat the cold sore with any cold sore medicine or anything else the cold sore will take up to two weeks to go away on it's own.