make a "log in" script (bat or cmd) with the following line:
reg add HKEY_LOCAL_MACHINE\SOFTWARE\Policies\Google\Chrome /v SyncDisabled /d 0 /t REG_DWORD /f
place it here: C:\Windows\System32\GroupPolicy\User\Scripts\Logon
new task:
create a new task in task scheduler with the trigger starting with an event (id: 4801) or at computer start or user log on.
select the action tab and add the script above.
don't forget the "Run with highest privileges" check box in the general tab.