Going along with what this says.
Generally, going to a top tier school is supposed to a) connect you with more people who work in your discipline (more interesting problems and conversations that can lead to more productive work), a more competitive academic environment where you try to publish to keep up with the prestige of your school and the work ethic of your peers. Beyond this, the meaning isn't that much. Of course, if you do not plan on doing research/academia after graduation then the school name matters slightly more (not sure what you would be doing though, especially since Chemistry !). But really, its your own independent work ethic.
Hiring committees at universities tend to pick candidates from better schools because the combination of a) and have led to more productive researchers that have better looking CVs. But you can still do it at a lower school, its just up to you. You need to:
1. Work very hard and consider everyone outside and inside your school as a rival, because that is the case even in year 1 of graduate school. You must shine!
2. Network aggressively at conferences and promote your work online as much as possible.
3. Publish as much as possible, and push your adviser to work in the same direction.
4. Plan for the future; what are the necessary goalposts to hit to move to a successful postdoc then maybe a high tier school? (Note: the answer is always the same ... publish or perish).