A precise measurement of the muon magnetic anomaly, $a_\mu$, can be used to test the Standard Model (SM) and search for new physics. An experiment at Fermilab aims to measure $a_\mu$ to an unprecedented precision of 0.14 ppm. The experiment's first measurement --- based on 2018 data --- achieved a precision of 0.46 ppm, confirmed the previous measurement performed at Brookhaven National Laboratory (BNL), and pushed the tension with the SM prediction to $4.2\sigma$, although recent developments have complicated the theory landscape. The analysis of the second and third years of data is nearing completion with an expected uncertainty reduction of more than a factor of two compared to the first result. The experiment is finishing its sixth and final year of data collection, having recently reached its proposal goal of 21 times the number of detected decay positrons as the BNL experiment. In addition to measuring $a_\mu$, the experiment is also sensitive to the electric dipole moment (EDM) of the muon, which, if found, would be a clear sign of new physics. Here, we give a status of the muon g-2 measurement and EDM search being carried out at Fermilab.