Looks very nice. front basket is not original, nor is that seat. But it does have the correct (and '59 only) rear fender reflector. It appears to have the Sturmey Archer 3 speed coaster setup. If mine, i would remove the basket, clean it all up, and put some whitewalls (just my preference). Great radiant green color.
Nice slightly used Speedster. Appears to be an early one with the new style chain guard that Schwinn modified a few times during the 59 model production. Note the little wire support leg going to the chain stay.