June 2013 CU for SharePoint Server 2013 is planned to be released in a couple of days.
In case you are only interested in June CU for SharePoint Foundation 2013 or Office Web Apps Server 2013 you can already download it from here:
The Full Server Packages for June 2013 CU are available through the following links:
As announced March 2013 PU for SharePoint 2013 defined a new baseline for all future SharePoint fixes - so ensure to install March 2013 PU before installing SharePoint 2013 June CU.
Are there any updates on when the June CU for SharePoint 2013 will be released?
such information is never provided. We document when it has released but we do not promise a date.