Daniel Amokachi for Club Brugge in 1993, the first season of the Champions League.
Lampard he scored just before half time.
Mario Basler, the Munich player, scored the first goal of the 1999 Champions League final. He scored the goal in the 6th minute.
If you are asking of the Barcelona verses Arsenal game , then David Villa scored the first goal.
Mike Newell for Blackburn Rovers vs Rosenberg in 1995
Daniel Amokachi for Club Brugges
He played for Arsenal against Barcelona in the 2006 Champions League final, he scored the first goal, but Arsenal eventually lost out 2-1.
The first year of the Champions League was in 1992. But if you are referring to the first year of the Champions League as in first year of European cup it was in 1955.