In this paper, we investigate the performance of a linear minimum mean square error (MMSE) receiver in the context of simultaneous wireless information and power transfer (SWIPT)-enabled cellular networks. Specifically, the multiantenna user equipments (UEs) are equipped with a linear MMSE receiver and employ either the time switching (TS), the power splitting (PS) or the antenna switching (AS) schemes to achieve the SWIPT capability, while a non-linear energy harvesting (EH) model is considered. The performance achieved by a linear MMSE receiver in the considered network deployment is evaluated in terms of multiple key performance metrics, e.g. information decoding (ID) and EH coverage probabilities, average spectral efficiency and average harvested energy. By leveraging tools from stochastic geometry, we establish an analytical and tractable framework to evaluate the aforementioned performance metrics, of which the analytical expressions are derived. Our results reveal that the ID performance achieved by the MMSE receiver outperforms that of the conventional maximum ratio combining, leading to an enhanced EH performance, for a given ID reliability constraint. Moreover, by using a linear MMSE receiver, PS scheme offers the best SWIPT performance compared to TS and AS schemes.