Regular stretcher is under 1" (inch) in depth. Canvas is stretched in exactly the same way as the gallery wrap with staples on the back. The sides of a painting created on a regular stretcher can be painted or left with primer exposed. This stretcher is commonly presented with a frame, although there are many examples of installing regular canvas unframed. It is often better for the owner of a particular piece to choose a frame that works with their interior. Regular stretcher is a good choice when a frame is required.
A note for commercial artists who are aiming at selling to a wide audience. Gallery wrap is more expencive than a regular canvas, but it is a better choice for making a painting marketable. You won't have to invest in a frame and gain a satisfied customer at the same time. A cheap frame or "do it yourself" may not match market standard. However, regular canvas should not be dismissed altogether.