The eye of your cat is cloudy, that much is clear. But there are different types of cloudy eyes.
A cataract is "only" a cloudy lens and can be treated by an operation.
A cloudy cornea affects the (usually transparent) skin of the eyeball and covers the pupil and iris. This is what your cat has and there is no appropriate home care. You should get her treated by a vet.
The reason why her one eye became milky is probably the infection. The bacteria may have moved inside the eyeball or at least infected the cornea, the outer skin of the eyeball. If that is the case, the infection must be treated by a veterinarian or it might flare up again and again. In the worst case, the eye must be removed to stop the infection. Better start the treatment before it gets to that.
Right now, there is no doubt that her milky eye is blind and once the transparent skin becomes milky, it cannot be reverted.
However, her behavior is a clear indication that her other eye works fine and she can have a very happy and healthy life, once the infection in the milky eye is properly treated.
The cloudy eye is still red and she seems to squint it more than the clear eye, which indicates that it's still badly infected and causes her pain. The vet will probably prescribe antibiotic eye drops or oral antibiotics for her. As with any antibiotics, you must complete the entire course, even if the cat doesn't show any symptoms anymore.
Whenever you clean her eyes, first clean the clear eye, then the milky one. Do not transfer bacteria from the milky eye into the clear one.