* Degree is a general term referring to an academic qualification awarded upon successful completion of a course of study at a college or university. There are many types of degrees, including bachelor's, master's, doctorate, associate's, etc. Think of it as the umbrella term.
* Bachelor specifically refers to a type of *degree*. A bachelor's degree is typically the first undergraduate degree earned after completing a four-year (or sometimes three-year) course of study. It's a specific kind of degree within the broader category of "degrees."
So, all bachelor's degrees are degrees, but not all degrees are bachelor's degrees.