I was going to leave this as a comment to @Dyppl's response, but it became too long.
Dyppl's response is generally good advice, and the way that I would approach this problem. However, there are a few things you should keep in mind.
First, there's no reason to do a HEAD request, followed by a GET if the page has been modified. You can do a GET with the IfModifiedSince header set, and the server will either return the entire page or a 304. Doing the HEAD first, followed by the 'GET`, ends up making two requests to the server, which defeats much of the purpose of the conditional request.
Second, you should set the IfModifiedSince property to the LastModified value returned by the previous response (i.e. HttpWebResponse.LastModified) because the server's time might not be synchronized with your computer. Also, I've found that a large percentage of sites, particularly those with generated content (like WordPress blogs) lie. They always return the current date/time in the LastModified header. As a result, there is no benefit to doing the If-Modified-Since check on those sites.
If you know that the site lies and always returns the current date/time, you can keep track of the ContentLength header that's returned from the page when you download it. Then, when you want to check to see if the page has changed, do a HEAD request and check the returned ContentLength header with the saved value. If they match, then it's unlikely that the page has changed. If they don't match, then do a GET request to update your copy of the page and keep the new ContentLength.
This technique does have the disadvantage of requiring two requests if the page has changed. It's also not 100% reliable on all servers. Some will return a different ContentLength for the HEAD request, and some don't return a valid ContentLength at all. That said, I've found it to be effective for a large number of sites.