A web designer is the one creating a look and feel for your website. A designer will work to construct logos or branding as required, choose colors, crate mock-ups, discuss layouts of the pages of the website. A website design is much above the pretty pictures.
Web designing is about a designer being knowledgeable regarding the concepts such as call to action, site content organizing, and layout setting up to meet your site goals. A common belief is that web designing is all about having a colourful picture on the front, but actually it should speak about your business works.