The last time updates were installed says March 17 (failed).
The update history shows that one update failed for March 17, a printer driver update, but the history shows 13 failed updates for Feb 17. Stop wuauserv (Windows Update Service), delete \Windows\Windows Update.log, start service, check for update and check Windows
After following both procedures (on a virtualbox I reset back to the same snapshot) I still had the hung update search. I have no idea what update got everything sorted out but using this sledge hammer I was able to get a bunch downloaded and installed.
(1) run "net stop wuauserv" from to stop Windows Update service; (2) download and install "April 2015 servicing stack update" (Windows6.1-KB3020369-x86.msu") mentioned in this answer; (3) download and install "Windows 7 SP1 Update Rollup" (Windows6.1-KB3179573-x86.msu); (4) download and install the "Windows Update Client Update" (Windows6.1-KB3172605-x86.msu) mentioned in this answer.When I tell Windows to check for updates, it acts like it is checking, but it seems to say that for hours.If I attempt to restart the windows update service, it seems to never be able to shut down.Much more rarely are they're caused by a mistake on Microsoft's part regarding the update itself.Any of Microsoft's operating systems could experience freezing issues during Windows updates including Windows 10, Windows 8, Windows 7, Windows Vista, Windows XP, and more.