Take a look at this thread: http://spservices.codeplex.com/discussions/254560
Look into the RecurrenceData field:
You get an string of xml. You can transform it to JSON if needed.
The object you get back is different depending on the type recurrence (daily, weekly, monthly, yearly), so you'll have to add some logic to accomplish what you need.
Another approach is to fetch the calendar items using REST Api and expand the recurring events using SPEventsParser library(GitHub repository).
first Get the calendar items using REST like this:
then call the library function to expand the recurring event like this:
var parsedArray = spEventsParser.parseEvent(eventObject);