Hate to be this guy, but... Do the timber columns have sufficient capacity? Do you know how to determine that based on timber properties? How is the load entering the column (bearing, hanger, other?)? How do you transfer the load out of the column? there typically is no reason to make these concrete, steel if necessary, concrete if you want the look.
I am concerned by the placement of your columns being off center of those live valley beams, the beams(green) you are supporting may not actually have load pending your rafter/collar/thrust design. Do you have a real ridge board is that just a ridge plate?
So your question of bracing. If the column is properly attached to the rafter system, or beam, then it is braced at the top by the beam. Lower it looks like you are braced in one direction by the wall (what braces the wall? So do not know your Lb1 or Lb2 but these will govern the size of your column.... i digress, so the top of column bracing, if this is braced by the beam then you need to verify that the bottom of beam won't roll or be a hinge to the column (think collapse or lift off). the top of your roof beams/rafters/ridge/valley is braced by your roof sheathing assuming that is adequately connected to your lateral restraint system.
Honestly, none of this is complicated and you can verify most of these with judgement but you do need a clear well defined load path. If this isn't something you are comfortable with designing then as always, get professional help, pay them, and learn from their work.