EVERYTHING should be documented period! That said, don't expect the IT lead to document things that all admins should know. However, configurations, backup details, router/firewall configs, etc. should all be backed up.
We keep all SYSTEM configurations and Documentation in a share accessible to all IT staff. Our security needs within our department are minimal in terms of who can see this info. Our goal is to share everything and NOT keep things secret.
Remember, the network belongs to the company and not this one person no matter how important he thinks he/she is. He/She is not using due diligence as he should. His goal should be to make sure anyone could walk in there and take over if needed at least to a large degree. Every place has their company-specific applications and systems but if those are also documented there should not be that large of a learning curve. In reality, one would assume that more than one person is familiar with such systems. If not, the company is at fault.
Also, we keep a password file which is encrypted and password protected in this same IT share. Suffice it to say, we have many, many passowrds set on a wide variety of devices and server configurations. In other words, if one password was compromised it would not automatically mean EVERYTHING is compromised. That is a matter of preference. If you think one username/password is sufficient make sure you document this information and keep it in a safe and change this often. I would avoid this and services on systems should run using specific accounts and not administrator or domain admin accounts.
All router, firewall & switch configurations are saved as text files. We create 2 versions for each device so that when we make changes we always have a backup should our changes cause issues.
At one location, we created a sealed envelope with administrator RSA key fobs, passwords,and some network documentation and gave it to the Accounting chief to keep in his safe. That way, should anything happen to the IT staff for whatever reason you would not be stuck.
Another worthwhile effort which could greatly assist someone coming to your site is a Visio Network diagram showing your various VLANs, ISP circuits, server layout, switches, etc.. This takes a great deal of time to create but once created it makes working with the network that much easier. We use one here and update it as necessary. Even though we know our network pretty well we still refer to it especially when thinking about implementing new configurations. It helps to make sure our proposed solution will actually work and it is invaluable when working on Firewall and Router configs.
With some thought and keeping some of this simple it isn't that difficult to create a basic "document" detailing the various set ups at your site. Just give the guy time to do this as that was always the problem I had at other sites. Management wanted everything documented but never gave us the time to do it. Please be kind to IT...we have lives too :-)
Hope this helps...good luck!