A project is a self-contained, finite endeavour. It could involve launching a new product and migrating your technology infrastructure to the cloud— anything that has a defined goal and an end-state could be classified as a project.
Processes are a more fundamental and granular part of an organization’s operations. The term “process” covers all kinds of tasks—regular, sporadic, or one-offs—that must be undertaken. And could describe the steps required to get a contract approved and signed off, onboarding a new customer or employee, or any number of other business tasks with clear procedures and a set of boxes to be ticked.