Get in someone's way or stand in someone's way?

They are the same meaning, except for the difference between "get" (motion) and "stand" (no motion).

They're not exactly the same, you don't have to be standing to get in someone's way.

If you sat too close to the television and stopped other people seeing all of it you wouldn't be standing in their way, but you'd certainly be getting in their way.

Also getting in someone's way can be passive, unintentional but standing in someone's way is more likely to be deliberate.

For example. The assassin tried to kill the princess but unfortunately for him the royal photographer tried to take a photo at the same time and got in his way. The assassin then ran towards the princess but one of her bodyguards stood in his way.

That could also be a totally passive action, izzy. The guard could have his back turned and not be actively trying to prevent anything.