Data Modeling involves describing how data is stored and related, including what kinds of data are needed. This could include transactional boundaries and other concepts like data normalization. Think: "application state".
Process Modeling involves describing the behavior necessary to perform a task. Typically process modeling is described from the viewpoint of the business or customer. Technical details, like database tables and user interface elements are not the focus when modeling a process. Think: "application behavior".
While both kinds of modeling focus on different aspects of an application, the data model can impose restrictions on the process model if done poorly. I recommend designing the process model first. After that, design the data model to support the process model.