The Logic App provides you with a set of tools to monitor its operation.
The first tools that you can use (and the simplest) are the runs history and the trigger history.
The Runs history section gives you an ordered list of the latest execution of your Logic App. You can find it in the Overview panel, as shown in the following screenshot:
If you click on a log record in the Runs history section, you can see the complete overview of what's happened in the run:
For each action of your Logic App, you can see the input and output, ...