Spring MVC is the framework to build web sites/applications using Spring. There's not a project called just "Spring Web" - you may be thinking of "Spring Web Flow" which is a project that works within Spring MVC. It provides a way to build all the mappings and flow of data you need to share state and/or go through some kind of process through multiple requests, rather than do it all by hand with multiple controllers.
Write once, run anywhere, because there's nowhere to hide! - /. A.C.