I'm glad to hear about your interest.
You should think of ConceptNet as a source of data. It's not a program that you would need to run unless you're aiming to re-build it with different data.
Earlier I responded with the API documentation -
https://github.com/commonsense/conceptnet5/wiki/API. The API lets you get information from ConceptNet, as JSON data that can be used from any programming language. It doesn't require you to have anything on your computer except a way of making HTTP requests, and you can start by trying it out in your web browser, making it a convenient way to start. Try clicking the links in the documentation, for example.
But it sounds like that may not be what you're looking for. Can you tell me more about what you're hoping to do?