People really don't understand consciousness, but it's actually quite simple when you realize that the question isn't "is this conscious?", it's "what is this conscious of?". A rock is not conscious of anything, because it has no state that represents anything. A sunflower is conscious of the sun's position, because it has state that represents that. A cat is conscious of much more, such as "this mouse is food". An LLM is conscious of much more, but less than a human.
The LLM is a model that is conscious of many things, as experienced through the medium of human text.