You probably see a trend developing in the answers: the general sentiment is that the name brand of your school does not matter as much as other factors.
Working in Silicon Valley for the last 15 years, I have always been amazed by how I and my fellow managers struggle to find qualified candidates. If any of them take any special note of a school, it is because they went there themselves and you can hardly control for that.
On the other hand, if someone's resume is full of interesting and relevant experience and they "wow!" at the interview, they go to the top of the list.
I agree with other recommendations: develop very good verbal and written communication skills, gain direct experience in your desired field, learn coding languages that you expect to use (personally, I have hired 3 college grads that learned coding languages through places like CodeAcademy), and make it easy for the manager to hire you. If you are great at following directions, understand difficult concepts, are easy to train, and work hard, then a manager is going to jump at the opportunity to hire you. Learn about "the other 80% of the job": time management, how to take notes so your superior does not have to repeat themselves often, when/how to ask questions, etc. Project humble confidence, reliability, competence, and a hunger to learn. If you show all these things, then the right hiring manager will be very eager to train and mentor and have you on a team. The best way to learn all of these intangibles is to go after internships that will give you real-world experience.
There are a lot of factors to getting your first job out of college but I would say that the name of your school falls fairly far down on the list compared to a lot of skills, personality, and experience that you can bring to the table.