How do you get rid of bleached hair?

If your hair is salvageable and has not been damaged, try dyeing it darker, and using protein-fillers or a protein conditioner to keep it healthy and more natural looking/feeling (available at Beauty stores for a few dollars). You have to baby your hair now, when it is most fragile after bleaching.

Deep condition every time you shampoo. My hair already feels more natural and looks way better after cutting off all the bleached hair (over time, a few trims here and there). Unfortunately, there is nothing to do to "unbleach" your hair. The damage has already been done, and the bonds in your hair have been broken down, which is why bleached hair normally sucks at holding color. If you decide to dye your hair darker, go with something with RED tones in it, even subtle. The red tones of your hair are the last to go when bleaching out your hair, they are the building blocks and strength (essentially, proteins) of the hair. Therefore they are the first thing that you need to add back in before you can expect your hair to dye correctly. (Example: If you put brown dye on blonde hair, it will look ash-toned, washed out, and even grey)

You can let it grow off and or you can apply a temporary rinse over the bleach depending on what color your hair is bleached.

If you are bleached blonde, you can apply a temporary red rinse over it then apply a dark brown or jet black over the red. The final color should be a dark brown or a black which ever you prefer. Just don't forget to add the red first then the other colors.

Don't apply a dark brown or black rinse directly on bleach hair, it can make it turn green.

Also you can, try applying a light brown directly over the bleach, test a small area first and if it turns out correct, proceed with the entire head. This will take less time and save money. Also you can apply just about any color over the bleach, just don't go straight for black, it will turn green.