If you're an Administrator in DQ+, you have access to the API Console to run GraphQL queries. Go to Admin -> Admin Console and it will take you to the API Console window.
This is the API Console window:
Here, you'll type in a query that will grab data. Many of the API calls are similar to how you would use them with REST API calls. For example, to call the completion status of an execution, you'd use the following code:
Here are the results if you run that query with an actual execution ID:
If you look on the right side, there is a "Docs" section that you can use to search for queries and fields associated with said queries. For example, here's what you'd see for "executionCompletionStatus":