Do you have a heater and a thermometer?
Read this article about Fishless cycling:
The (almost) Complete Guide and FAQ to Fishless Cycling - Aquarium Advice
As an alternative to fishless cycling, you can get some established filter media, like reticulated foam or ceramic rings, from somebody else with an established, cycled aquarium. Put that in your filter and you will be able to add a couple of fish right away, then gradually build from there.
Also, the filter you have has pretty much zero biofiltration capacity in it's stock form. What you want to do is remove the filter cartridge, and insert a piece of properly sized reticulated foam (Aquaclear foam, for example) in the filter. It will provide much more surface area for bacteria to colonize, and you never need to replace it. Just rinse it ever so gently in tank water once every month or so.