JSON is just data, not graphics. From your JSON file being a HTML canvas or SVG in disguise to it just holding specific parts of the animation there could be any bnumber of things there, but since you haven't even provided a screenshot of your logo nor any details about the structure and data in the file we cannot know anything. That said, no, simply importing it will do squat in AE. You have to put in much more work and at the end of the day you may not even need the JSON and have to re-create everything with AE native featrures and tools. Anyway, you need to be much more specific.
Mylenium