To be fair the G1 was an older design than the P38, first flying in 1937 two years earlier than the Lockheed. Two years may not seem that long to us, but the pace of change was a lot quicker back then.
No sensible pilot of a twin engine fighter should be dogfighting with single engine types. Just the size of the aircraft would put it at a disadvantage in that situation as they'll almost certainly roll slower and have a larger turning circle. Given the right circumstances and tactics these disadvantages can be overcome but it's always best to stay away from the fighters if at all possible.
I grant you that the 2 year difference was significant. Undoubtedly, the P-38 was also a much more expensive airplane. It was at the cutting edge of the era's technology--400 mph out of the box.
As to a twin fighting a single, the P-38 was more than capable of doing this. It was extremely maneuverable at speed. The Lightning actually had a tighter turning radius than any other Allied fighter except for the Spitfire. The handed engines gave it a unique ability for a WW II single seater to turn in either direction equally well. Once the P-38 started rolling and was past 10 degrees, it would roll very well. The later models would roll even more quickly as these planes had boosted aileron. The P-38 acceleration was unmatched which makes sense given the power from two propellers. Also, its high altitude horse power was unmatched by another fighter due to the twin turbos.
The biggest problem with the P-38 for most pilots was its complexity. The plane had twin engines and had the turbo boosts. Twins, of course, are inherently more complicated to fly. Many pilots did not get enough training time with to get the most out of the Lightning.
You might want to a take a look at
this, a very interesting and enlightening discussion of the P-38. This is a summary of a bunch threads from the old usenet days discussing the P-38. Some of the contributors were actual P-38 pilots. It goes into the virtues of the P-38 and also looks at its vices. Its conclusions definitely favor the P-38 but it backs these conclusions up.