You will have to handle the parsing of the source yourself to make this work. Because the CSS entry can be in another file or even files, this can be tricky. I would start by looking at the DIHtmlParser component which can help greatly here. You will have to parse the main document, and each identified CSS file to locate the proper file/position to jump too. I would also look at tEmbeddedWB as an alternative over TWebBrowser as it supplies much more control over the embedded browser as well as TRichEditWB which works well for viewing syntax highlighted HTML source.
Edit: You still have to parse the CSS and HTML to build an index of each tag and its CSS location. When your editing the HTML, you have to parse the tag your cursor is currently on or in, compare that to the index you parsed earlier, to display the CSS attributes in effect. Keep in mind that CSS cascades and nests, so your index will most likely be a tree, and your tag will be relative in that tree.