Services for analyzing search queries of visitors to niche sites?

Question

Google

How to find out for which keywords visitors come from the search to certain sites?
Are there any analytical services that can help collect this information?
More specifically, how do you find the top searches that bring people to political news sites?
It is desirable not only for Ru-Ukr, but also for the West.

Answer 1

prepare from $ 5000 and go to similarweb.com
if it's on a budget - take Bookvarix and aim, but there will be no statistics , you can estimate statistics
approximately according to wordstat