As IoT is getting popular, accessing the device over the Internet has become easier. There are many IoT platforms such as Xively, ThingSpeak and XOBXOB. Exosite is an another IOT platform that allows connection with Arduino and explain how to monitor the temperature using Arduino and communicate with Exosite.
Of course W5100 powered Ethernet Shield is used for the Ethernet connectivity and you can see the temperature graph as below.
For more information, visit the site. http://support.exosite.com/hc/en-us/articles/200095738