Upload Serial Monitor Data to WebServer

Hi!
I have figured out how to upload data to the webserver using my Ethernet shield. However, I want to remotely view my arduino's serial monitor without connecting it to the pc using usb, but through the web. Is it possible to make it upload its serial monitor to the webserver? I am using an arduino uno and a w5100 Ethernet Shield.
Does anyone know what I could do to do so?
Thank you!