Dia,
There are several methods to get execution references.
For instance, if you want the currently selected execution, you can use ExecutionViewMgr.Execution.
Also, you can create new executions from ApplicationMgr.GetEngine, and call Engine.NewExecution.
Is there something specific you are trying to do? There are many ways that the TestStand API and the TestStand UI Controls API are related, and this can be found in the TestStand UI Controls API.
Allen P.