Will bleaching hair 100% turn hair orange?

I'm seriously considering bleaching my hair. Naturally, it is medium brown; however, since I've spent a lot of time in the sun, my hair is now a light brown. Many people say that it turns your hair orange when bleached, during one of the stages. I do know that it is possible for your hair NOT to turn orange, [my brother's went straight to platinum blonde] or at least the orange tones will lesson over a few days. If I bleach my hair and than dye it a darker blonde, should my hair be ok? Especially knowing my brother, who has the same hair color as I do only a shade darker, was perfectly fine when he did this to his hair. Or am I doomed to have orange hair?