The greater Los Angeles area has a rather mild climate. Average temperatures range from 59° - 76°F, so you will likely have plenty of perfect days for a walk or hike!
The boundaries of Sherman Oaks are not linear, but it is bordered by the following other neighborhoods: Van Nuys and Valley Glen to the north, Studio City and Valley Village to the east, Beverly Glen and Bel Air to the south, and Encino to the west.
Besides the greenways in Sherman Oaks, there are also plenty of greenways just outside of the neighborhood's boundaries. Sepulveda Basin Wildlife Reserve is the largest nearby greenway and it is home to a lake and plenty of walking trails for you to utilize with your pup at your side.