Well I'm in California as well and I have the burpee burpless cucumbers and they are doing the exact same thing as yours. I am not having much luck this year, I think Ill try a different variety next year.

uscjusto - I replied to this question on another thread. If you have the SWEET burpee burpless hybrid, it is indeed gynoecious [having only female flowers] and needs a pollinator, another vine that produces male flowers. Seeds for this should be included in the seed packet, marked as such.

Your plant probably did produce one or two male flowers, which is how your single fruit got pollinated. This isn't unusual.

I bought this plant as a start and it had 2 seedlings.
1 didn't make it due to slugs, so that could explain the lack of males. Maybe the dead plant would have provided the male flowers.

I don't recall if this is the sweet burpless hybrid.