Short Answer: The game is not officially supported on windows 10.
Long answer: Yes you can get the game to run without any crashes, however there are some in-game bugs that are pretty bad. I found a way to fix them, but you need a free program to help you.
I cannot link you to the post, even on this website. Click on the community tab and look for the game specific forums that should be right there on the main page, search for "conflict" and it should pop right up, my fix should be the most recent post on the forum.
I was searching for a solution to the in-game bugs just recently and found one that works pretty well. That post should give you all the information about the bug and the way to solve it. If you already bought this game and do not want to bother with the fix I would check out GOG's refund policy.