Understanding the effect of solvent on the polymer conformations is a fundamental problem in materials science and engineering. Here, we have developed, the first of its kind, a coarse grained (CG) model of poly(acrylic acid) (PAA) that can reproduce its experimental glass transition temperature (T-g) and conformation of a single chain in the presence of explicit solvents along with capturing the structure of solvents at the PAA-solvent interface. The PAA model was based on a CG model of propionic acid, an analogue of the PAA monomer. The accuracy of both the propionic acid and PAA models was validated by employing uncertainty quantifications. The cross-interaction parameters between CG PAA and one-site water model and between CG PAA and DMF models were optimized to reproduce the radius of gyration (R-g) of an all-atom 30-monomer (30-mer) PAA chain in pure solvents. These interaction parameters were further used to explore the PAA conformation in the presence of binary mixtures of water and DMF with different compositions. A PAA chain was in a globule-like and a coil-like state in binary solvents with low and high mass fractions of DMF, respectively. Moreover, the local structure of solvent suggests that even at a low mass fraction of DMF in a binary solvent, there is an enhanced ordering of DMF molecules at the polymer-solvent interface. Furthermore, an increase in the coordination number of DMF molecules within the first solvation shell of PAA suggests that DMF molecules form a shielding layer and protect PAA from water molecules. These results are in excellent agreement with the results of all atom MD simulations.