Learn English – How long is your class

It's one of idiomatic irregularities with roots in tradition of use and no true grammatical rule justification.

The correct usage is "How long does it take you to get to your college in the morning?" without plural, but still implying you talk in general, not about one specific morning.

Contrast this with a regular form:

How long does it take you to get to your college on Monday mornings ?

Here if the "morning" was singular, it would mean next Monday. The plural makes it general. The use of singular "in the morning" is an exception from the rule.

I'd personally go with this example:

Come over to my place, dude. I'll treat you to a delicious pizza.

to treat means to give someone something, typically food, either because they've done something good to you or you're simply doing it out of sheer generosity.

As for your examples, they sound weird.

Come over to my home bro! I will make you eat a pizza.

That one sounds like you're going to force him to eat pizza—as if you were going to stuff that pizza down his throat or something along those lines. That's obviously not what you want to say.

Come over to my place bro! I will eat you a pizza.

The same thing here. This example does not even make real sense. Sounds like you're going to eat something and as a result you'll produce a pizza for you friend.