the Palestinians would be able to access their own resources and build a functioning (as in self-sufficient) economy.
For starters, Palestine would be able to access their own water resources, which would mean that they could get up to and beyond the minimum WHO recommendations, which is way more than the meager 73 liters per day that Israel allows (http://www.btselem.org/press_releases/20140212_discrimination_in_water_allocation). This would mean that they would be able to advance from pre-industrial forms of agriculture to more advanced forms that requires irrigation, and even greenhouses. Currrently, the use of greenhouses on a commercial scale isn't possible due to lack of water and Israeli prohibitions on the advanced equipment needed.
Another advantage is that Palestine would be able to use 3G services. Most countries already has 3G, including the USA and Israel. Imagine how things would be in the US if people had to use 2G services - that's the tech Israel allows for Palestinians.
There would be of course advantages in every way if BDS succeeded, but a final advantage would be that Palestinians would be awarded civil rights, and there would be rule of law in the formerly occupied areas. Instead of Apartheid and military courts, Palestinians would have normal courts and a civil administration like a normal country.
So the BDS goal of ending the occupation and giving Palestinian human rights would help a lot.
For more info on how BDS would help , try reading this:
The economic costs of the Israeli occupation for the occupied Palestinian territory September 2011
Source: The Palestinian Ministry of National Economy and the Applied Research Institute - Jerusalem
http://www.un.org/depts/dpa/qpal/docs/2012Cairo/p2%20jad%20isaac%20e.pdf
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