Log shipping was not a feature available with SQL 2000 Standard Edition.

If you need to do this sort of this using SQL 2000 Standard Edition, you could write you own. Log shipping is a set of process that backup the transaction log, copy to the standby server, restore the log and monitoring of the processes involved. You may be able to find scripts that help create this sort of thing for you if you - there are a number of articles about this on SQL Server Central.