Hi,
Are you talking about the First Friday Event? That is setup to as an event every day from now until the end date so it shows correctly.
If you want it to show as a recurring event you have to recreate the event and set the start and end date for first date.
Then setup recurrence for the pattern you would like with the end date set there.
You can read up how to use recurring events here:
https://theeventscalendar.com/knowledgebase/pro-recurring-events/
That will display as you like and only current events will show and not events in May.
Let me know if you have any follow up questions.
Thanks