Multiscale modelling is a new paradigm that has emerged in recent times to study the well-known problem of the process structure-property relationship in the area of materials science and engineering. For obtaining the desired performance for materials of strategic importance, such as superalloys, it is essential to bridge different length and time scales in order to navigate the entire design space. In the present study, we develop a physics-based model for a Nickel-based superalloy where the microstructures simulated using a phase-field model serve as input to finite-element computations. Coupling of these two techniques requires an accurate mesh preparation from simulated microstructure, which is performed via OOF2 software package. We examine the alloys microstructure evolution and effective elastic properties quantitatively via phase-field and finite element methods integrated with CALPHAD database, by varying composition and aging temperature. The phase-field simulations provide us with an insight into the different regimes of microstructure evolution. The finite element analysis (FEA) uncovers the relation of effective elastic properties with several system parameters. The predicted effective elastic modulus of Ni-Al alloys from FEA is a vital function of aging temperature and the volume fraction of γ′ phase. Coarsening of γ′ does not have a significant impact on effective elastic modulus. The predicted elastic properties clearly establish structure processing property relationships for the Ni-Al alloy considered in this work.