The wireless Internet, which was a dream just a few years ago, is now progressing so fast that it could revolutionize the whole framework of the telecommunications industry. In this paper we firstly review the main related network technologies and then note some of the current trends and challenges toward wireless Internet. These trends include those within the telecommunications technology as principles and those within the Internet applications. By 'network technologies' we refer to either the cellular or wireless networks being able to provide Internet access (such as 3G or WLANs), while by using the terms "challenges" we refer to those issues that will play the most important role in coupling Internet services with network architectures (such as mobility management or QoS).