Start with the title. Then look at each of the figures carefully. Figure out the limits of the paper from the methods. Certain methods can only give certain types of results. Again, look at the figures. The figures tell the whole story and are worth way more than the text. What is the story the figures tell?
Ignore the rest of the text. If you must read something, read the text of the results and look at the supplement. If you have a lot of spare time, skim the citations and identify the couple of sentences in the discussion that express the author’s methodological regrets. Under no circumstances should you read an introduction.
Discussion will usually tell you where the researchers see issues in their methodology and findings, as well as suggestions on where to go from there. Reading the methodology may be extraneous to you if you trust the researchers and results. It's good for attempting to reproduce or to critique findings, but you'll ideally get a sense of the methods from the other sections.
On the other hand, if you're reading Audre Lorde you'll have to break out a highlighter and gut it out.
If it's in the model of a STEM style paper, then read abstract, read intro + conclusion, see if findings are relevant or interesting or significant. If they are, read the whole paper while recreating the logic/experiment/problem in your head. Question, question, question. Actively read and constantly question the findings or nature of the experiment.
If it's in the model of a humanities or argumentative paper, then read the abstract with a focus on the central thesis or argument, it should be clearly stated. If it's not, then the paper might be poorly written, or too vague to be very useful. If it is, then judge if it's relevant or interesting or significant. If it is, read the intro section. Decide if you should continue reading. When you read the rest of the paper, always refer back to the argument and thesis in your head (which should be clearly stated and summarized in the intro section). Actively question the logic and steps of the argument, evidence, analysis. Assume they will address counterarguments; if they don't, be savage and see if pulling on the thread of a counterargument undoes the whole logic of the paper. Take notes but don't just copy, note your reactions to the paper.
Some exceptions to this are literature reviews, which try to summarize all recent progress in a field and document the state of the art, and problem statements, which suggest directions for new research by pointing out a new or overlooked issue, and which are typically a prequel to grant applications.
You need to figure out whether the goal of people handing you papers is for you to become expert in the topic by fully understanding the methods and results, or to just trust that the papers you receive are the state of the art in this field and think about how to implement their conclusions in software, perhaps translating the key mathematical assertions or pseudocode algorithms into working prototypes.
Get used to looking up the paper online (the doi:// link on most papers will take you to the journal of original publication), because you can also check what papers have subsequently cited the work, and download the Supplementary Information, which usually exists as a 2nd pdf that goes into greater detail about methodology, intended to help a lab assistant or non-expert (ie you) reproduce the results. They are typically written in a more casual style and often include links to code or datasets, as well as practical information about what equipment was used or pitfalls to be avoided. The SI can often help you make sense of an otherwise confusing paper.
Remember, papers are not tutorials. They're checklists intended to back up an argument for reconsidering the conventional wisdom in a field. They may be trying to add detail, or show that one piece of knowledge sheds light on another topic in an unexpected way, resolve (or at least make tractable) some knotty problem that has caused progress in some direction to come to a halt, or (occasionally) to suggest that the conventional wisdom is actually wrong and some new concept explains prior results more economically or completely. Papers that trumpet their own importance usually aren't; papers that express surprise often are.
All during that I try to keep track of questions I have or claims the authors are making. Once I've gone through a lot of the paper, I go back and look for answers to my questions. Interrogate the paper until you are convinced.
I remember being younger and getting stressed about reading papers. So I want to add that not all paper are well written. Don't worry if you're struggling. It's not easy in the beginning and the papers themselves aren't perfect. Keep working at it because it does get easier!
If there are lots of references I'll try to figure out if one of the references is an "important" or highly referenced by other authors, then I'll get that paper and see what the foundational work in the field is.
All this assumes that you have time to really get into the material, it could take several weeks to get a sense of a single paper if I'm new to the field.
https://web.stanford.edu/class/ee384m/Handouts/HowtoReadPape...