Copying words, or saving an image off another web page and placing it on your own without permission is a clear breach of copyright and the penalties for doing so can be severe.
Publishing a print document on the net requires electronic rights. Organisations like the Australian Society of Authors have been encouraging their members for several years to retain electronic rights of their work in any publishing contract.
While you can link to someone else's web page, you should not put their logo or photos on your page without permission. This applies to private as well as commercial pages - using the logo of your favourite toy, television program or the Olympics can result in a letter threatening legal action at the very least. All businesses and organisations have a reputation to protect and well-meaning fan web sites rarely fit their requirements.
Including someone's web page in a frame on your web site is also considered a breach of copyright. This battle has been fought and won in US courts.
Professional web developers will be able to advise you on the copyright issues when creating a web site. Hobby web developers, with little knowledge or scant regard for copyright laws, can cost you dearly if they breach copyright on your pages.
For more information, the Australian Copyright Council pages at www.copyright.org.au
