MesoWx is a real-time HTML front-end for visualizing personal weather station data. It provides a real-time graph and console display, and dynamic graphs of your weather station history allowing you to explore the details of any recorded time period in your data.
MesoWx displays data from a database and does not itself interface with any weather station hardware directly, however, being built upon Meso it supports an HTTP API for remotely adding data, which allows integration with existing weather station software. MesoWx integrates well with Weewx and should support any weather station that it supports.
Requires quite a bit of configuration and background work (like setting up another database for this extension to use exclusively) so read the docs before deciding to set it up.