While design is the art and process of combining individual elements of design (lines, shape, texture, color) into a pleasing arrangment, Web Design is the art and process of creating a single Web page or entire Web sites and may involve both the aesthetics and the mechanics of a Web site's operation although primarily it focuses on the look and feel of the Web site - the design elements.
Web Design vs. Print Design
"Graphic design, desktop publishing, and Web design are different and not-always-distinct disciplines in the broader field of visual communications." — Desktop Publishing and the Internet
"Although desktop publishing and Web design have a common ancestry, they aren't the same. Yes, there are certain similarities — such as text, graphics, color, page composition, and the need for clear navigation -- but Web design has its own set of challenges and design parameters." — Similarities and Differences in Print and Web Design
"While it is possible, with CSS, to get very precise layouts, but it will never be as precise as print." — Web Design is Not Print Design
Doing Web Design
"Most designers don't try to cover all of it. Instead, they focus on one or two areas where they can excel and work with other people on the rest. But the good news is that there is always going to be something new to learn." — What is Web Design?
"When building a website there is a process that most designers use. This process covers all the steps from deciding on a website to building it and putting them live." — Web Design Process