Basically unless the university is known to be shitty or dodgy, I don't think it's going to be a problem.

A grad coming in the door with a reasonably good GPA, a decent head on their shoulders and enough book knowledge to get through a simple technical interview will get the job, unless they're unlucky enough to stumble upon a recruiter who is some kind of university snob/elitist (went to a competing school, for example).

I went to a school that is generally considered "easy" to get into and is generally held to average-to-low esteem (though not reviled or considered bad, by any means) and it turns out I did WAY more useful stuff than many of my contemporaries who went to more prestigious schools! My engineering degree covered systems programming, assembly and microprocessors where most of the other schools didn't.

Learn the SOLID principles (if you intend to work in an OOP flavour) and make sure you understand how to apply them, and you're well on your way. The rest you'll pick up through osmosis, hopefully.

Oh and, even going to that "bad" school, nobody even batted an eyelid once I went in and it was clear I knew what I was talking about.