There are many paths you can take to follow a design process (I think most of the paths follow the basic structure I posted below, but each are nuanced in terms of what tools and techniques they implement for any given project). Choosing what to do will depend on what is most appropriate for your project.
Most importantly, I suggest you pick a topic area you are interested in for your project! (By that, I mean if you are already part of an organization that you love, maybe there is an opportunity to improve something in it... basically, start with something you enjoy, and work from there to find a problem to solve.)
Also, in your case, you should consider if there is a particular skill set in the design process you want to focus on (for example, do you want to focus on prototyping, research, UI design...?).
In general, I would outline the UX Design Process as:
Definition: Defining the problem that and understanding what it is you want to solve.
Research: Research should ideally be happening throughout the entire process. After the definition phase, you can do research to gather information that will help define the problem further and help generate ideas and potential solutions.
Ideation & Prototyping: Create possible solutions through sketches, prototyping, wireframing, etc. You should be iterating on your designs through this process to improve usability, UI, etc. Put your designs in front of your target users so you can figure out which areas of your design you may need to improve. You can do many types of user research on your designs.
Launch, Learn, Improve: Launch your solution, gather insights about it, and iterate!
There are a lot of resources available online to learn about each one of these areas. For example, what are different types of research methods? How do you run a usability tests? How do you create prototypes? etc... Good luck! :)