The 1 series is a new model in BMW's lineup. It is a hatchback, like a VW Golf or Ford Focus.
There were reports that it was coming to the US as the 1 series but now it has been confirmed that it will not be coming to the US anytime in the near future.
The 2 series would have been the convertible form of the 1 series, BMW has ditched the idea of naming a 2 series and 4 series (3 series coupe/convertibles).
So forget about 2 series and if you want a 1 series, move to Europe
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Hope that helps...