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.
Please also have a look at the article that discusses how to properly patch a SharePoint 2013 farm which has Search enabled.
The KB articles for June CU will be availabe at the following locations in a couple of days:
The Full Server Packages for June 2013 CU are available through the following links:
After installing the fixes you need to run the SharePoint 2013 Products Configuration Wizard on each machine in the farm.
Be aware that the SharePoint Server 2013 CU contains the SharePoint Foundation CU. And the SharePoint Server 2013 with Project Server CU contains Project Server CU, SharePoint Server CU and SharePoint Foundation CU. That means only one package has to be installed for the SharePoint 2013 product family.