Over the years, there has been an exponential increase in the capabilities of networks, evolving from wired networks to wireless, and finally moving towards 4G networks. This evolution has brought forth many ways in which a user can access any service, particularly accessing the Internet. From emailing and social networking to file transferring, users are on a constant venture to exploit the advantages as much as possible. Predictions show that the demand will only increase with increasing number of mobile devices and subscribers. It becomes clearer that there will be rapid growth in the demand for more energy-efficient mobile devices. However, due to relatively slow increase in the battery technologies, the mobile users' expectations were not being met. This thesis highlights few interesting points on the energy consumptions by the most common Internet browsing tasks. It then presents the measurements of energy consumption on using various network connection technologies namely Ethernet, Wi-Fi and 3G to access the Internet. The obtained data from the experiments were then analyzed to arrive at an idea on the difference in energy consumptions across various browsing tasks and access technologies. Later, it involves a survey through which critical observations with respect to power efficiency and QoE are collected. The study concludes with a picture that would help users have an insight on the technologies that they may wish to choose to connect to the Internet. It helps manufacturers understand and consider the affect of an interface on the power consumption. It also helps researchers bring better solutions of designing the network interfaces. The aim would be to reduce the energy consumption by the product components rather than struggling to design powerful batteries to meet the increasing power demands from the network components. A wise choice of networking technologies is or what is may be required to gain better energy efficiency.