How should i treat this burn?

I burned my arm with my curling iron about a week or two ago.It turned into a dark brown color. The next day, it was raised a bit and by the time I look at it that night, the dark brown skin was making a sort of ripple affect and the skin peeled off. Now, the burn it light pink. It doesn't hurt or anything, its just discolored. What do I put on this and how long will this take to heal? its summer and i dont want this thing on my arm. its just light pink now but itll be more noticable when i get a tan. help?