No 4 speed in 1976. 

Would be interesting to see photos of it though. I do believe that 3 speed was standard with the 250 six.

You could get the 250 six with a 3-speed column shift, and I think that in 1976-only you could get a 260 Oldsmobile V8 with a 5-speed Warner T-50 (weak-ish trans.)

edit: I guess Ray posted the spec sheet at the same time I posted. It looks like the Olds 260 wasn't used on the Canadian-built 1976 Lemans.

The ad has a bit of play on words; "mild race cam from the factory" might mean one of Chevrolet's performance small block cams from the Chevrolet Parts Counter, plus "4-speed transmission and a posi rear differential all that came from the factory", well Positraction I could see but the 4-speed, although it came out of a factory somewhere, just not in this car. The current owners have owned it over 20 years which means not from new. It existed perhaps as much as 8 years prior to the current owners, and a previous owner must have swapped stuff into it.

Prior to 1975 Pontiac had been fairly generous with the 4-speed availability, offering it behind 350s & 400s on any Lemans body style including wagons. The 4-speeds went away for a couple of years until it became available on the downsized 1978 models with the 231 Buick V6 or Pontiac 301 2-barrel on many body styles & trim levels.

Canadian Poncho wrote:

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Could you get a 4 speed trans in '76?? Unfortunately no pics..

 

I have a 1976 Pontiac Lemans sports coupe Olympic edition that I need gone   it has the small block chev 350 with a 4bbl carb and a mild race cam from the factory, 4-speed transmission and a posi rear differential all that came from the factory, this car is an all original car that really hasn't been

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 Maybe a COPO ?    mild race cam from the Factory     maybe he has a permit for pot