Catherine,
The ssh utility and rsync are available on the AEP Conduit (at least on the more recent versions). As for sudo, that currently isn’t necessary since the admin user is the same as root on the Conduit. The crontab utility is available so you should be able to run “crontab -e” commands on the Conduit. As for apt-get, the closest thing that Conduit has is opkg which still requires you to upload the package onto the Conduit before it will install it.
The one catch with editing crontab entries is that they will get overwritten on a firmware upgrade. Are you trying to update software packages of some kind on the AEP Conduit?
Jeff