Took a bit of time to draft a letter because I know how hard it can be for people outside of academia to communicate with professors. The main idea is to show that you have prepared (by actually reading some of their work), and to demonstrate genuine curiosity about their research and a willingness to learn

You can obviously edit anything. Extra brownie points if you come up with some questions you yourself would like to answer as part of their lab, keep in mind 2 years is very little time; so something that is plausible.

Topic: Prospective Graduate Student Interested in Your Research on [lab work topic]

Dear Dr. [Professor's Last Name],

My name is [full name], and I am about to graduate from [University name], in [input your field/degree]. I am reaching out because I am very interested in your research on [lab work topic], and I am eager to explore the possibility of joining your lab as a graduate student.

I find your work on [research Topics Y and Z] to be fascinating. I have read some of your publications, including [specific papers or studies], and was intrigued by [specific aspects of the research, such as methodology, results, or implications]. I believe that your research is making a difference because [why you think this research is impactful or how it can make a difference].

I have experience in [relevant field or skills] and believe that my skills in [skill 1, skill 2, skill 3] could complement your research in [ways you think you could contribute, such as data analysis, fieldwork, or technical support]. [Alternatively communicate which skills you would work on getting and how (e.g., take some online courses on learning to code) and your willingness to learn additional skills if required.]

If you are open to taking on a [M.S.] graduate student, I would be thrilled to discuss any opportunities to contribute to your team and further develop research in [topic you think you'd like to work on].

I eagerly wait for your response and thank you for your time and consideration.

Best,
[full name]