The breach of copyright occurs when the text/images/whatever are stored in your browser cache. All browsers do this. It's not the eyeballing of the webpage that breaches copyright; it's the fact that the browser works by downloading a copy. The basic problem with UK copyright law is that there is no 'fair use' clause. Where such a clause exists then the temporary cacheing of a web page is not a problem.
By the way, there was an article in the Guardian today about authors' rights and volunteer-run libraries. Apparently it may be a breach of copyright for volunteer libraries to lend a book if the author has not given permission. Who knew?