Well, I mean... Yes and no? An LLM doesn't really "think", and what mathematical fakery it does pass off as "thinking" stops the instant the text completion request finishes doing all it's math and outputting the results (as a text completion based on a simulation of a text chat most commonly). When you send it another comment or question, it starts all that math all over again, but with your new question or comment added into it's context window. It's kinda like instant amnesia each time, and behind the scenes, the software that's running the model refills it's "memory" and adds in anything new that's been added since the last prompt. But it's "memory" consists of only the "context window" it's able to handle plus the model "weights" (huge list of numbers that encode language "tokens" into a mathematical "vector space"). It never really learns anything new.

A human brain on the other hand is constantly processing 24/7 (even while you sleep), and always learning / changing until the day it dies. An LLM never changes (under the hood it's weights stay the same) unless you outright alter it's weights somehow (training / download an updated version of the model / etc). If you could somehow get an LLM to run constantly, in training mode, and give it ridiculous amounts of RAM and ultra-fast storage, and a series of fancy realtime inputs (audio, camera, etc) and maybe wheels so it could explore, and hands so it could do stuff, and access to it's own code so it could improve itself, it might eventually learn to closely approximate a really good simulation of actual thinking, but that's a bit of a scary road to go down. So many Sci-Fi movies and books end up going so very badly when the lead character starts playing in that particular sandbox. I doubt reality would go a whole lot better. ;)