Be aware of mountain bikers descending this trail.
Compared to other trails in the area, Beebe Trail is relatively new. The top of the trail starts off of Oaks Peak Trail before the switchbacks, and the bottom reconnects just over a mile further down. It's a fun alternative and a way to bypass the tight turns.
The trail gently follows the contours of the slope, so it's not steep at all. Nevertheless, you'll want to consider your footing at some sections closer to the bottom. The corridor is not wider than 4-5 feet, and the dirt is a smooth hard pack with some loose sections. There aren't any obstacles that require runners to stop or even slow down.
This trail can be combined with Oats Peak for a scenic loop workout.