No, it acts entirely like a physical object, collision and all, it just eats through weak materials easily and can be used to rapidly wear down strong things over time. A property of any Corrosive weapon. A +1 Corrosive Flaming longsword need not literally have acid or be on fire; it just deals those two energy types in damage. Combine with the absolutely normal glow that magic swords can be made with simply as a side effect of enhancement and a Least Crystal of Return (300gp), and a you have a perfect Lightsaber replica.

It does not act like a Brilliant Energy weapon. Two lightsabers couldn't even collide if it were Brilliant Energy. If you want a glow, make it glow.