I want to make it hard for users on a domain to access things like System Properties. Is there a way I can disable things like Right Clicking the start menu, Accessing System Properties, and any other administrative task that regular users don't need access to?
By setting GPO, you gonna be able to disable access to this feature.
Here's an excellent ressource for GPO : http://www.petri.co.il/download_gpo_reference.htm
This is actually a reference electronic book about almost all settings available through GPO. The one you're actually searching for is called "Context menu" and he's locate whether in Internet Explorer settings of Windows Explorer settings ;)
Hope this help!
Group Policy is definitely the way to go with this. But when you're looking for the appropriate settings, don't try to think about disabling specific user actions like right-clicking My Computer. Think about the actual target areas you want to be off-limits, like the System Properties dialog. There are multiple ways to get places within Windows (mouse, keyboard shortcuts, cmd line, custom code, etc). You want to lock out the sensitive areas, not worry about locking out all the ways to get there.