Yup! It will open up a new tab and fill in what it can (date, winner, whether won by points/flatline/decking/concession, points scored at the end of the game, opponent’s name, opponent’s ID, that the game was online, sometimes its best guess at what deck you played, number of turns, etc). You fill in the rest (the deck if need be, any notes) and click a button to save it.
You can also manually log games, if you want to record offline games there too.
Disclaimer: I haven’t actually used it in a while, because I haven’t been playing online much, but I assume it still works.