I will eat you a pizza doesn't make sense.
I will make you eat a pizza means I will force you to eat a pizza. This does not suggest that it is a treat. Maybe you were thinking of I will make you a pizza. This means that you will make a pizza for the friend.
I want to take a treat from you means that you want to take a thing away from the person. That thing is a treat. This is not an invitation to eat pizza. It sounds like you want to confiscate the treat.
Looking at a dictionary entry, we have
3 a : to provide with free food, drink, or entertainment <they treated us to lunch>
Actually it does not have to be a situation where something good has happened. It could be used in a neutral situation. It could be a sudden, spontaneous thing, or it could even be done if something bad has happened (for example, if you want to cheer up a sad friend).
- That company treated me to lunch again. They really want me to accept their offer.
- (Speaking to a child.) I heard that your puppy is sick. How about I treat you to some ice cream? Will that make you feel better?
In your example, we don't know if something good happened. I'm assuming that you just want to hang out with your friend—nothing special. Using your example, we have
Come over to my place bro! I will treat you to pizza.
As a noun, we have
b : the act of providing another with free food, drink, or entertainment <dinner will be my treat>
You could say The pizza/it will be my treat. A common expression is "It's my treat!", or simply "My treat!" So you could say
Come over to my place bro! I'm ordering pizza. My treat!
It's casual and it also means you will be providing the pizza for free. Instead of my treat above, you could say
It's on me!