No, the application won't work on Windows 10. The official website doesn't say anything about Windows 10, but it does mention Windows 8, which means you can try to run it in Compatibility mode.
Download page: http://esupport.sony.com/p/swu-download.pl?upd_id=5529#sysreq
Right-click the setup package and choose Properties > Compatibility, then select Windows 7 from the list and launch the software as Administrator. It might work this way without an upgrade for Windows 10.