nice looking and clean carby.
thats the original carb right?? and you are using the mechanical fuel pump (standard).
then no, the carb will not automatically fill as such. The carb will begin to fill as soon as you start to turn the motor over. It might take a while, so make sure that the battery is well charged. without pulling that nice clean carb apart, i think thats the only way.
To purge the lines, which seems silly really considering alll the crap in the tank that you cant cleanout anyways, just disconnect the fuel line at the tank end as well as at the carb end, and let it drain out. If that doesent drain for what ever reason, then you could blow on the end of the pipe to clear it out, or you could use compressed air,but I would be a bit duboius aboutusing compressed air due to the posibility of fire,so I think puting your car on an angle and blowing should do the trick. just make sure that you are on the up side, or you may cop a mouthfull of fuel, which is not good for you health depite what some may say.

Reguardless, the manufacturer is not going to know if you have purged the line, let alone of you have done it properley, and considering that the line is about to be filled with the fuel that has all the crap from the tank in it, i doubt that it ill make a difference and considering that you are going to use a new filter and another one that they supplied, the i think that you are faily safe anyways. Cosidering that your original carb has problly never had anything done to it, and the only reason that it is bing retired is a crak in the body, shows that the original hitachi is a pretty tough realible unit.
In summation, if you cant be bothered to purge the lines, in my opinion, dont worry about it.