How can I test requests to my server using Jest?

I am writing a Node.js application that acts as GraphQL server. And I want to test if GraphQL is giving me the right results.

My guess is to make a request to server in each test and then watch if it is right or not. But I'm not sure how to set it up, how to run the server and clean the database before all tests and shutting it down after all tests are finished.

I worked with rspec using Ruby on Rails before, so I want to do something like rspec does in Node.js. Is there a way to accomplish it using Jest? And if not, how can I do something simular?