I will review the status of the cosmological model and prospects for better understanding the dark matter and dark energy components of the Universe using weak gravitational lensing, from ground and space. Recent ground-based weak-lensing measurements suggest that there is a "tension" between the level of inhomogeneity in the nearby Universe that is predicted by extrapolating from measurements of temperature fluctuations in the Cosmic Microwave Background and that measured directly in the nearby Universe. Results from forthcoming surveys such as those conducted by Euclid, Rubin and Roman will provide measurements of unprecedented precision and shed new light on these tensions.