> But does that mean that the government would need to endure protests in any federal building at any time?

No. It means that the university cannot censor protests based on their content. They can certainly require protesters to get a permit, to stay within certain areas, to act within usual behavior parameters.

> If not, I think you could make a case that UCLA could kick protesters out, for example if they take over a building.

Of course. But that's not the claim made by the administration.