There's a lot of ways to approach it. And different methods will produce different results.
One way to approach it might be to leave the shutter open, and then just use several flash exposures or even a flashlight to light the areas you want to capture. Another might be to just do an ultra long exposure, and wait for a night with clear skies and a full (or near full) moon, and just use ambient light. Typically, if you're going to be doing a long exposure, you'll definitely want a very sturdy tripod and find a night without any wind. People will also typically use a film with good reciprocity failure characteristics in this instance, as it makes calculating exposure easier. Sometimes a film with low reciprocity failure and low ISO will expose a scene in less time than a high speed film with high reciprocity failure. So what kind film you should use is determined by how you want to shoot the scene.
Night shooting like this can be difficult, as you have to juggle a lot of things at once. Your best bet here is to just experiment, learn for your mistakes, and develop your own method. I couldn't even tell you how I'd do it, because I don't know if you're trying to expose the whole scene, or isolate the tree, or if you're going for a hard or soft light setup, etc. And depending on what I wanted to capture, and how I wanted it to look, my methods could change completely. There's no right or wrong way to do it. There are just ways that will give you certain results, and other ways that will give you different results. And at this moment, you're best off doing some experiments to learn what your options are, and how they effect the final shot. Then, if you run into a more technical question along the way, we can try to offer some assistance. But it's hard to tell anything from a heavily edited, digitally scanned negative.