1) Download the file below for the Gingerbreak oneclick Root app( make sure that "unknown sources" is checked. (Settings->Applications-> Unknown Sources).
2) Install the app. Make sure that debugging (Settings->Applications->Development->USB Debugging) is enabled and run the app.
3) Click "Root Phone" and let the app do its magic!
4) Phone will reboot upon success. When it turns back on You should have SuperUser.
5) Enjoy your Rooted LG Optimus V!