As has been said, that style of pump is simply not compatible in any way with conventional carburettors.
Pumps for newer fuel injected engines give anything from 30 - 70 PSI, and they is no way you can control one to give a steady low pressure supply suitable for a needle valve and float system in a carb.
You must have the correct type of low pressure, diaphragm and spring pump - either the correct (from what I can find) AC type 421 mechanical pump for the 1936 engine, or an SU electric style as Diver linked in post #2.
The originals do appear occasionally, eg.
1935 - 1936 CHEVROLET CHEVY AC FUEL PUMP TYPE 421 AUTO 609454 AUTOMOBILE OLD CAR.
www.ebay.co.uk
Rebuild kits are readily available if you find an old one.
Find many great new & used options and get the best deals for 1935 1936 CHEVROLET 6 CYL 181+207 ENG. AC# 421 MODERN FUEL PUMP KIT NEW FUELS at the best online prices at eBay! Free shipping for many products!
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You need the new diaphragm as the originals are rotted by ethanol on modern fuel.