This study proposes a novel Graph Convolutional Neural Network with Data-driven Graph Filter (GCNN-DDGF) model that can learn hidden heterogeneous pairwise correlations among stations to predict station-level hourly demand in a large-scale bike-sharing network. Two architectures of the GCNN-DDGF model are explored: GCNNreg-DDGF is a regular GCNN-DDGF model which contains the convolution and feedforward blocks; GCNNrec-DDGF additionally contains a recurrent block from the Long Short-term Memory neural network to capture temporal dependencies in bike-sharing demand series. Furthermore, four GCNN models are proposed whose adjacency matrices are based on various bike-sharing system data, including Spatial Distance matrix (SD), Demand matrix (DE), Average Trip Duration matrix (ATD), and Demand Correlation matrix (DC). These six GCNN models along with seven other benchmark models are built and compared using the Citi Bike dataset from New York City, which includes 272 stations and over 28 million transactions from 2013 to 2016. Results show that the GCNNrec-DDGF performs the best in terms of the Root Mean Square Error, the Mean Absolute Error, and the coefficient of determination (R2), followed by the GCNNreg-DDGF. They outperform the other models.