I am planning on letting my employee pick up the check instead of me.
Why would you make your employee pick up the check?
I am just looking to show him the proper etiquette for dining with their boss.
When you take your employees out, you should pick up the tab for them. It is wrong for the boss to expect a subordinate to pay for things, especially when they were invited.
I would rather not pay for it, but I suppose I will.
You should not be allowing the people who work for you to pick up the check. You are the boss, and most likely make more money than your employees. This is one of the reasons why it is more acceptable for you to pay.