You are mentioning that your company uses AD ("the domain"), so it's a rather professional setup. This means that most likely a DHCP server will also be available. During the installation Mint tests this so the network-configuration will automatically work.
If somehow this is not case: Click on the network-icon on the bottom-right of your desktop, choose "Network Settings", click on the settings-gear and fill in the requested information just like you would do it on your Windows system.
For access to your files you don't have to worry about placing your system in the domain. Instead you can more-or-less copy the Windows way of accessing your files:
- Windows: You open the file-explorer and type
\\name-of-the-fileserver in the location bar
- Mint: You open Nemo (Mint's file-explorer) and type
smb://name-of-the-fileserver in the location bar
I and some on my colleagues use Mint, we work for a large Windows-oriented company, it never failed for us