E1039/SpinQuest is a fixed target experiment at Fermi National Accelerator Laboratory that uses a transversely-polarized target to explore the sea quark and gluon Sivers functions via the measurement of the transverse single spin asymmetry (TSSA) for a number of physics processes including J/ψ, ψ’ and Drell-Yan production. The experiment employs a 120-GeV extracted proton beam colliding with transversely-polarized NH3 and ND3 cryogenic targets. The SpinQuest spectrometer is optimized to detect the oppositely-charged muon pair produced in these processes. In pursuit of these asymmetry measurements, we are developing an advanced graphical processing unit (GPU) based multi-threaded framework that allows for an efficient parallelization of the online data processing flow and track reconstruction along with diagnostics and visualization tools. In this talk, I will report the progress of the ptimization of the offline track reconstruction in GPU by this autumn to reach real-time data visualization and monitoring. I will also present results estimating the anticipated precision of TSSA measurement via J/ψ production from the first SpinQuest production data.