Novice question ...

We are running a simple replication whereby we backup the PROD server once, restore onto STANDBY and then run a SP every 5 minutes on PROD that dumps the transaction log and then calls a SP on STANDBY to apply the log to STANDBY. My problem is that both the initial restore and all subsequent logs appear to need the "WITH NORECOVERY" option which leaves the database unusable. BOL says to 'use "WITH NORECOVERY" on all log restorations except the final'. Problem is, because the whole process is automatic, we have no way of telling which of the logs is going to be the last !!!. So, my questions are, 1) am I doing it right and 2)what would happen if a log was applied twice, would SQL know and not apply it ?