The present invention relates to an apparatus and a method for accessing the web in a network system in which pre-fetching of web pages is supported. To that end, when DNS processing is requested, a user terminal provides URL information to which a connection is anticipated to a proxy server via a DNS server. The proxy server can, via the DNS server and by means of the URL information received from the user terminal, pre-fetch information about a web page to which a connection is anticipated via a user terminal. That is, the proxy server configures a TCP session with a web server before a TCP session configuration request is received from the user terminal. Furthermore, by acquiring and storing necessary web page information before an HTTP request from the user terminal is received, the proxy server can immediately provide the web page information which has been in storage in response to an HTTP request from the user terminal.