I don't get what you want, you want to invoke a browser in your home remotely?
Tell us which direction and what you want to do with what computers running what os?
Update:
First, you need an SSH server on the remote end.
For web, see if the client has the -D option, which is the socks proxy. You pick a port, setup the proxy and reconfigure your browser for the socks proxy.
I use this all the time.
If you don't have a proxy, you can setup simple port 80 tunneling. This tends to not work well because of virtual servers and how to address things.
If on Linux to Linux, you can use X port forwarding. By invoking the browser on the remote end and using the local flag, you can display the brower on your roaming laptop. On firefox, it is --no-remote.
No reconfiguration of the laptop is necessary.
Most companies have some https interface into mail, because in order to get access to your mail via pop or imap requires reconfiguration and you would not want to do it all the time.
Look on the web, various links on how to ssh tunnel imap and pop mail. You just need to setup tunnels for imap/pop and smtp. Painful, there might be a way to setup a profile for this.
Lastly, if you want to get to a PC you should be able to invoke either vnc or rdc and use the desktop for browsing and mail through port forwarding. Rdc is tcp 3389 vnc is 5900 + display.