The South Pole Telescope (SPT) is a 10-meter-diameter millimeter/submillimeter (mm/submm) telescope located at the National Science Foundation Amundsen-Scott South Pole Station, one of the best sites on Earth for mm/submm observations. The SPT is currently equipped with the SPT-3G camera, the most sensitive CMB camera in active operation. Early SPT-3G results from a small subset of data taken in 2018 have already provided competitive cosmological constraints; in this talk I will discuss recently released results, and preview upcoming results, from a much more powerful data set taken in 2019-2020. Highlighting the recent release are the first polarization-only CMB constraints that are competitive with temperature-dominated constraints from the Planck satellite. The power and statistical independence of this polarization-only data set make it a strong test of current CMB parameter constraints and curiosities such as the Hubble tension. The upcoming cosmological constraints from the full 2019-2020 SPT-3G CMB power spectra (TT, TE, and EE) and CMB lensing reconstruction will surpass those of the Planck satellite on certain key parameters (including H0). The aforementioned results all come from deep observations of a 1500-square-degree field; I will also discuss the nearly complete Extended-10k survey totaling 10,000 square degrees, which will improve cosmological constraints by another factor of ~50 (in total LCDM parameter volume) and serve as a pathfinder for upcoming deep-and-wide CMB surveys such as Simons Observatory and CMB-S4.