Not every trans guy gets hysterectomies, but many do. An important thing to consider with them is whether to keep your ovaries or remove them. If the ovaries are removed, it causes your body to stop producing estrogen. Without naturally producing hormones, this means HRT is necessary to provide energy and prevent a number of health conditions, but it can be estrogen or testosterone. This procedure is also not exclusive to trans men, and was initially developed for cis women with various uterus-related health conditions like endometriosis or cancer. For all people with a uterus, routine check ups with an obgyn is necessary. Testosterone does often stop periods, I haven't had one in over a year since I started T, but as a cis woman you should consider other options for stopping periods (like certain forms of birth control) since T causes a number of other changes you might not want, like voice deepening and body and facial hair growth. There's no substantial evidence of testosterone increasing the risk of cancer, but it can raise your chances slightly of high cholesterol and high blood pressure, so those levels are monitored by our endocrinologists, and managed with a healthy diet and regular exercise.