It depends on a lot of things.

Let's first assume the person's vision is stable and has never changed.
In this case, someone who has some remaining vision would likely dream in that. So, just like any other dream, but with their level of vision.
Someone who was totally blind wouldn't see anything, but their dreams would likely be made of sounds, feeling, and smells.

Now it hets a bit more complicated if the person's sight has changed. e.g. they used to be fully sighted and lost vision.
In this case, it really depends on the person. It could be that if the sight loss was sudden then for the first few years they'd dream in full vision, and then slowly loose that. Or if it was slower than maybe just dream in what they have currently.

Of course it really depends on the individual and their sight loss journey.

It depends on individual

I was low vision now legally blind at left eye lost light at 15 yo at right some blur colors and hand movement it happened gradually in right eye.
But in dreams i can see in vivid colors eagle eye sharpness like I never saw it. I see with panoramic field of view not one sided, can even zoom in and out so cool!
Sometimes i achieve state called "lucid dreaming" it's state when you realize you notice you in dream and you can control it fully every aspect of it, then real fun begins. Then i do in dreams things i can't do in reality and see places i wouldn't visit (or maybe i would but in dream i see all much sharper)

My fully blind grandfather who lost vision suddenly due incurable infection at age of 4 had no visual dreams, his dreams were based on sounds and feelings. But when he got advanced Alzheimer and Dementia stopped recognizing us and surroundings sometimes he had nightmares and hallucinations at night while sleeping of intruders and monsters in room, as diseases progressed he sadly couldn't realize what was part of nightmare and what was reality for hours. SSRI, antianxiety helped temporary then lost effect he couldn't check if it was dream or not at night was hard to calm down.

I have been legally blind for almost 7 years. I lost my color vision 2 years ago. When I dream it’s is 20/20 in full color.

This is an interesting question, I was born with some vision that’s deteriorated over time so sometimes I see on my dreams but rarely clearly it’s usually quite fuzzy and I just know what objects are because it’s my dream though my dream vision usually reflects the limits of my natural eyesight which is interesting to think about.

Most blind people see the same things sighted people see. There is a gross misconception that blind people are all 100% blind. That is wrong. The VAST VAST majority of blind people fall into the low-vision spectrum. It's harder to see than those with normal sight, but we can still see things. it's just more blurry or takes us longer to process the visual information.

It gets quite annoying when the general public uses "blind" to mean "100% blind," and I think that's something society should change.

I generally "see" things in my dreams that I touched before, and kind of can see them. Such as human faces, etc.

Most of my life my vision was good. Now my viewable radius is very narrow and everything is much darker than it used to be. When I dream I see things like I used to, full of light and with a broad window.