I went through this once, after discovering it on the Twine Garden, and I got two endings. I think there was a major fork at a midpoint but I was satisfied enough by the endings I got that I had no interest in exploring what happened if we didn't capture the unicorn.
Story-wise, it's interactive fiction about being an ugly maiden in a unicorn-haunted forest, and all the hunters who come to buy your services. I expected something I'd actively dislike, because I'm opinionated about unicorns (I discovered this game a day after viewing a screening of The Last Unicorn with Peter S. Beagle....)
...but I didn't dislike it. It was competently written. It worked for me.
As for interactivity, it's Twine. It has many endings but I only personally identified a couple of forking points. It's the kind of story where you click throughout the page to get more information and then return to the main story.
It didn't take too long to play. Recommended for an entertaining fantasy half an hour.