I think the major change will be Russia moving its nuclear potential close to the border, along with having a constant military presence around the region. There will obviously be annual military exercises and threats/intimidation by amassing troops/violating borders to a much greater extent that there have ever been.
Outright invasion seems highly unlikely considering that they have their hands full in Ukraine, but there will never be any sort of cordial diplomatic or trade relations between Finland or Russia ever again. That part of our history, where we've served as sort of a mediator between the West and the East, is effectively over. It will just be clear hostility between the two, from this day, to the end of days. It will also reflect on how Russians will view Finnish people, and vice versa.