Not "growth tree" but an "old growth" tree. It just means a tree that was left to mature, and never cut down.
The reason for the distinction is that most of the old growth forests have been clear-cut and the lumber available today is fast-growth farmed lumber. If you compare a 2x4 at Lowe's with a 2x4 out of a 150-year-old house, you'll see that the wood itself is very different even though the species might be the same. The tree the new 2x4 came from was fairly young, while the tree the 150-year-old 2x4 came from was probably centuries old.