Is the Marlin GT30 like the Marlin 336T? If so I think the manual for the 336 would work. The year seems to match when the T's were made.
Yes. The "Glenfield" 30GT was supposedly exactly the same mechanically as the 336 except that rather than the stock being walnut (336) the Glenfields have a hardwood stock stained walnut, and the 336 has a 20" barrel while the 30GT has an 18.5" barrrel. The GTs were a bit less expensive, and marketed to retailers like Sears, Walmart, etc.
My questions arose when I started looking at the 336. There are several versions of that particular model, and I wanted to make sure that if there was a different manual for the different models, I got the one that most closely matches my Glenfield.
But that sounds like it was a moot concern, since as Gunsmith stated, the Marlin lever actions are all put together the same way.
ETA: Oh, and I found out while researching online last night that the "T" in 336T and 30GT stands for "Texan", so I might have put 2 and 2 together myself, but we have a forum Gunsmith!