This is a fascinating question. In the standard model, an electron is assumed to be a nearly perfect spheroid. This is just a model.
Researchers from the Imperial College of London have been trying to measure the electron’s “roundness.” The electron matches the standard model in terms of being very spherical. They are working to improve their measurements. Quantum mechanics may be useful if there is a difference in the electron’s shape.
What is the real meaning of shape? An electron is a standing wave. They measure its shape by observing how it interacts to an electric field. If you are curious to see what their device looks like,
However, there is no “shape” for an electron in a conventional sense.
Learn more about electron modeling and atomic modeling.