Are there any labels on it? Can we see them if so?
Well, the fabric looks like wool "from here," but you are in a far better position to judge that than we are--because you can feel and handle it in person. I wouldn't rely solely on an opinion from afar.... It could be a wool blend, too; if there's any place you can snip a bit of fabric off (although the seams and hems look fully finished off), you can do a burn test.
I wouldn't say there's a specific name for this style? I personally would call it one of the mod military-inspired styles of the late 60s or very early 70s. What does it look like to you?