ATI (now AMD) never released a driver for Server 2016. However, the Windows Server 2008 R2 driver can be coerced to work. Here is the safest, most tested method.
If specific resolution isn't required, Windows Server 2016 will often default to this generic driver, which provides stable but basic functionality. Installation Guide Ati Es1000 Driver Windows Server 2016
Windows Server 2016 was released long after support for the ES1000 ended. There is no official, native driver for the ATI ES1000 on Windows Server 2016 provided by AMD (formerly ATI) or the server vendors. ATI (now AMD) never released a driver for Server 2016