Photographic as the literalists take it to mean, i.e., being able to flawlessly capture a visual image and examine it later, picking up details you didn’t notice before? I don’t think anyone really does, though some heavily autistic people may have something similar.
Photographic in the more figurative sense it’s usually meant, that is, simply not forgetting far more of what you see and experience, regardless of your level of reaction or comprehension? Say, having a conversation be interrupted and able to perfectly resume it a decade later? Or flipping through a book in an alphabet you don’t know, and being able to recall it well enough to look it up and find it? That does exist, and I’m living proof.
The short answer as to what it’s like is, of course, what’s it like to forget so much? With no standard of comparison, I can’t say with any precision how much more I remember than those around me, nor how full the differences are, but I do know what I’ve observed and, having far more of it to compare, concluded. This much, I can tell you…
-Most TV and movie depictions (that I’ve seen, anyway) would have you believe that it’s an ability, rather like snapping your fingers. It’s really more of attribute; something you are than something you do. Also, these people (if they’re not heavily autistic or disabled in some mental way) are usually pictured as otherwise being more-or-less perfectly normal, as though the only consequence of this was no one ever being willing to Play Trivial Pursuit with you.
-It’s still human memory. You still forget most things you experience, you still make mistakes, it can still be manipulated. You learn a lot more raw information, but analyzing it and getting something more broadly useful still takes effort. Casually, it’s just as involuntary. You may be able to remember every detail about a random Social Studies test in sixth grade, down to the angle of the staple and the speck of dirt above the number 4, but you might not recall what you had for breakfast yesterday. Think you know the annoyance of having a three-second snippet of a song you heard on the radio two and a half decades ago get stuck in your head? ** YOU KNOW NOTHING.**
-It’s not all fun and games. Dealing with other people often feels like you’re living Groundhog Day. It can be pretty isolating.
-Picture yourself at eighty. Think of all the little tricks and gimmicks you’ll use (or did use) to help you remember. Know that for everyone you’ll have (or have had) to help you remember, I have three, to help me forget.
On the positive side, you never need to study for tests, can often recall whole chapters of books word-for-word, rarely need to write things down, are set if some reason you’re sent back in time and need to open various lockers you had, have a built-in way of impressing people you’ve met before, can concoct elaborate schemes that take decades to come to fruition, can recall other people’s moments of embarrassment, and can in general manipulate people in ways and to degrees that even I find horrifying, and all without expending the slightest bit of effort, other than paying a little attention.
It alters you in ways large and small, blatant and subtle, and I’m not going to pretend I understand or even know all of them, but I wouldn’t trade it for the world.