After you import the obj, rightclick on the node and get internal, get inside the (red) parts node too (after rightclick again) and you see a (series of) default shaders attached to a series of parts shaders. They are for leaves, trunks, branches and whatnot. The tabs of the default shader have to be checked for their files, and perhaps need recalling image files for color, displacement, opacity. Often, for leaves, some translucency is also needed (0-0.75 or so), depending on species (and what you want it to look like).
After that's all correct, it's best to save as tgo, which is the native TG extension, and it remembers all the settings for easy re-import in some file.
And I probably don't have to mention filing them in a logical way, and not change that afterwards, or files won't be found if you open a tgd.