Is it worth it to go to an Ivy League for graduate school?

One of my goals in high school was to get into an Ivy League school. It didn’t happen but I’ve been looking into making a solid push for graduate school. I was talking to someone who I sort of trust their opinion, and they said that all the benefit of an Ivy League is with the connections you make in the undergrad.

I do agree that a lot of the power of an Ivy League is the connections you make, do you still get the same benefit in graduate school?