Here's the link under the Articles tab for the Nitrogen cycle.
http://www.aquariumadvice.com/articles/articles/24/1/Nitrogen-Cycle-/Page1.html
Generally most cycles take about 4-6 weeks to complete. Try searching for 'fishless cycle' and you will get plenty of threads.
If you dose daily with Ammonia (not sure on the amount) you will eventually see the ammonia level down to zero by the next day, then Nitrites will rise and fall (keep dosing ammonia) and then when BOTH ammonia and Nitrites are zero, and Nitrates start to rise, you're done and you can start stocking a few fish here and there.
Happy to see another addition to the family of aquarists! Stick with this site and you will do well
Since this is your first aquarium, tell us a little more about it - what kind of filter do you use, do you plan on keeping live plants (pool filter sand is good for a planted tank), what kind of fish do you want to keep, etc.
Also I always recommend that you test you tap water for Ammonia, Nitrites, and Nitrates to make sure you understand what water you're using during your weekly water changes (20-40% generally, all depends on your bioload and filtration equipment), and also to get a handle on the pH of your tap water.
Mine is weird, is comes out of the tap off the scale (over 9.0) and stays that way if I let it sit stagnant in a bucket overnight (even 48 hours later) but in my tank, after I do a 40% change it's around 8.4, then 24 hours later it's down to 7.8 or so, and a week later is settles out around 7.4.
it's also important to understand that whatever you find, you don't want to mess with the pH in the tank unless you absolutely have to, for instance, if you want to keep a certain kind of fish that has to have a certain pH range (like Discus or other Cichlids), and then you want to get as much input on what to do to make sure you don't otherwise mess up your tank in the process, and I strongly suggest you get that advice here, as the employees at your LFS (local fish store) may not give you the greatest advice. here you are dealing with experienced aquarists with unlimited knowledge (and opinions too!)
IMO this is the best site for most questions, but there are others out there that are good as well.
Welcome and enjoy your new obsession...er..hobby!