In order for GWT to report any CSS errors (misspelled/missing class names), you need to be including your CSSs in your GWT project via CssResource
(check out the docs for usage examples, etc). If you are using UiBinder, all the CSS you declare in UiBinder's XML files are automagically converted to CssResources, so you get the benefits there too (plus, with the Google Plugin for Eclipse, you'll get nice, red underlines under any misspelled/missing class names, just as you do with any other Java errors).
Note however, that CssResource obfuscates your style names by default, so it might take a bit of work to refactor your project to take that into account (again, see the docs for a more extensive read).