We propose and analyze a quantum switch for GKP-qubit-based all-photonic entanglement distribution networks. Its design is compatible with a recently studied design of a GKP-qubit-based all-photonic quantum repeater that achieves high end-to-end entanglement rates despite realistic finite squeezing in the GKP-qubit preparation and homodyne detection inef-ficiencies. Our main objective is to optimize the allocation of a finite number of multiplexed GKP-qubit-based entanglement resources among different, arbitrary distance client-pair connections enabled by the switch. We achieve this by overcoming the limitations of previous studies by optimizing the bipartite entanglement generation between clients of a switch (or repeater) node even when they are not equally spaced from the switch. We then maximize the switch's total throughput while ensuring the rates are distributed fairly among all client-pair connections. To better illustrate our result, we analyze an exemplary datacenter network where each user aims to connect to the datacenter alone. Together with the quantum repeater, the proposed quantum switch provides a way to realize entanglement distribution-based quantum networks of arbitrary topology.