People use the two terms interchangeably. They are not the same thing. Though honestly, the line between them is thinner than the purists admit.
Kobita path is the broader act: the reading or reciting of a poem aloud. A teacher reading Tagore to a class is doing kobita path. A father reading to his child at bedtime is doing kobita path. It is sincere, it is valuable, and it asks mainly for clarity and feeling.
Abritti is kobita path taken seriously as an art. It adds technique: trained breath, deliberate pauses, studied emphasis, an interpretation of the poem that the reciter has thought through. An abritti shilpi does not just read the poem. They present a reading of it, a version.
Think of it like cooking versus being a chef. Everyone who makes dinner is cooking. The chef has studied the craft. Both feed people. Neither is fake.
Here is where I will be blunt. Some people hide behind the word abritti to sound important, and some people dismiss path as amateur. Both attitudes are silly. A heartfelt kobita path can move a room more than a technically perfect but cold abritti. Technique serves feeling, not the other way around.
If you are learning, do not worry about which label fits you. Read poems aloud. Care about the words. The technique will come, and the labels will sort themselves out. The poem does not care what you call it.