The product group released the June 2013 Cumulative Update for the SharePoint 2013 product family.
Be aware that all Update for SharePoint 2013 require March 2013 PU for SharePoint 2013 to be installed first.
The KB articles for June CU will be available at the following locations in a couple of days:
- KB 2817346 - SharePoint Foundation 2013 June 2013 CU
- KB 2817414 - SharePoint Server 2013 June 2013 CU
- KB 2817415 - SharePoint Server 2013 with Project Server June 2013 CU
- KB 2817350 - Office Web Apps Server 2013 June 2013 CU
The Full Server Packages for April 2013 CU are available through the following links:
- Download SharePoint Foundation 2013 June 2013 CU
- Download SharePoint Server 2013 June 2013 CU
- Download Project Server 2013 June 2013 CU
- Download Office Web Apps Server 2013 June 2013 CU
After installing the fixes you need to run the SharePoint 2013 Products Configuration Wizard on each machine in the farm as mentioned here for Sharepoint 2013.
An up to date list provided by Microsoft could be found here.