Looking on the internet deeply has found these results:

go to university is the most popular phrase on the web.

go at the university 12,670,000 results on the web	go to university 120,300,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
It doesn't look like this phrase is very popular! The search could not find any examples on the internet.	He is saving money in order to go to university. He says I could go to university a year early. She was just about to go to university to study mathematics. Wants to go to university down south. He left to go to university in France, because as a Jew, he couldn't go to university in Poland, and then he enlisted in the French military in World War II. You can go to university to study for law or medicine or... So I completed my education, but I wanted to go to university. It isn't futile to go to university.

go at the university

12,670,000 results on the web

go to university

120,300,000 results on the web

More popular!

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

He is saving money in order to go to university.
He says I could go to university a year early.
She was just about to go to university to study mathematics.
Wants to go to university down south.
He left to go to university in France, because as a Jew, he couldn't go to university in Poland, and then he enlisted in the French military in World War II.
You can go to university to study for law or medicine or...
So I completed my education, but I wanted to go to university.
It isn't futile to go to university.