Setup VNC on Raspberry Pi
Since September 2016, the official Raspbian image comes preinstalled with the VNC server from RealVNC, which you only have to activate with one of Raspberry Pi configuration tools (eg aspi-config).
A special feature of this VNC server is the integrated web server, which delivers a Java applet on port 5800. This allows the desktop to be displayed in any browser with Java. So you can do without an independent client. Assuming that Java and the Java plug-in for the browser are installed on the computer.