This looks like a film that has not seen the light.
I would check the edges of the film (outside the regular image area) - if it does not show the film make and frame numbers (these come pre-exposed from the factory) it is more likely a development issue; if the numbers are clearly visible it is more likely a camera issue.
Was the film loaded properly? Did you feel slight resistance when rewinding it?
You can make a rough check of the shutter speed by taking off the lens, opening the film back and shooting with shutter speed of 1 second. You should see the shutter clearly open and close.
The Canon AE-1 was in its day a popular camera with a reputation for reliability, but that was 40 years ago. By now would not be unusual for one to develop electronics issues, which are sadly unrepairable.