I'm a little confused too, but since I've done a lit review, let me see if I can help.
A lit review, in my experience, is the opening chapter for a larger research project/experiment of some kind. It is based on the principle that scientific research builds on itself, so as part of your reasoning for why you are about to experiment/study something, you discuss what has already been found/asked/studied. So you present a review of the literature, discuss what is missing/what questions are still to be answered, and then explain how your project will address those gaps. It is usually paragraph form but heavily cited (e.g., Smith and Jones first explored the concept of space flight in 2000, by.....Ruff and Bones expanded on their work by.....)
What you are describing, though, a string of quotes/summaries, is something I have heard of called a précis. The purpose of this document is create, essentially, a comprehensive citation list and skeleton summary of the research on a given topic. There is no lead-in to next steps (though there might be a general section at the end identifying future paths/research needs). The format here does tend to be more bullet points and lists, also very citation heavy.
Neither of these are plagiarism, however, because if they are properly done neither of them are composed with the intent to pass off someone else's work as your own, which is the heart of plagiarism. I can also say that "just" pulling together a comprehensive lit review OR a précis is harder than it sounds.