Welcome!
Yes, for online play, we use Vassal. There's a tournament coming up this Sunday if you're interested. I haven't played it on Tabletop Simulator - not sure if anyone else here has.
The game was produced by Wizards of the Coast from 2004-2010. Starting in 2011, the Vsets began (virtual sets). They are new stat cards that use the existing WotC minis as proxies (though some players create custom minis to use instead). Just this month the 20th Vset was released. All of the stats are here in the database. The cards can be printed from the PDFs that you'll find here:
http://swmgamers.com/SWM/V-setMain.htmlOr, you can get professionally printed cards for some sets by sending a bloomail to urbanjedi. All of the sets have been printed (or are in the process of getting printed), but for many of the sets we've run out of copies.
For your reference, in the database here, Masters of the Force was the last WotC set (i.e. physical minis) and Destiny of the Force was the first Vset.
The Vsets are made by players, but it's a lot more than just "homebrew". For any given set, there are close to a dozen people working on it in some capacity (4 designers, plus playtesters, card design, rules and quality control, card sorting/distribution, etc). The sets have been legal for tournaments (including the GenCon championship each year) ever since WotC discontinued the game.