sounds like you got another week or two before any fish can be added. How long has the tank been cycling?? Whats in it now, any cleaning crews, live rock, live sand??
nitrite will rise rather high before it starts to go down, but you will see some nitrate start to register as well, and this is the end result of the cycle. Once ammonia and nitrite are both down to 0, then do you last water change of the cycle and you should be in clear for you clean up crew if you want one, let them settle for a while and then add another fish or so.
What size tank is this?? is this going to be a reef or fish only?