If your work proxy is logging what you visit to, then yes it will show visits to the web proxy. Also, depending n how the webproxy itself works, your work proxy will also be able to log what websites you are actually going to (i.e. if the proxied website is in the URI).
If they're halfway sensible the proxy will block access to most proxy sites, especially the big ones. There's specific catagory on most of them, generally called "proxy avoidance".