In this talk, we will discuss the relationships between two different versions of bordered Floer homology for manifolds with torus boundary: the original bordered Floer homology of Lipshitz-Ozsvath-Thurston, and the surgery modules recently defined by Zemke. We define a bimodule that translates between these two versions, which gives a sophisticated new perspective on earlier ideas relating the knot Floer homology of a knot to the bordered Floer homology of its complement. We also describe how to understand this relationship in terms of immersed curves. This is joint work with Jonathan Hanselman and Ian Zemke.