Although Bear Lake Road is open year-round, it is often snow-packed in the winter. If you plan to go on foot from this road, certainly anywhere on the upper half of the road, you'll need snowshoes. Furthermore, the trails will be mostly obscured, so you'll need to be able to determine where you're going from the terrain, or by following other snowshoe tracks. The winter trails used are different than the summer trails used, so be sure to pick up a winter map.
The planned construction is on the lower part of the road.
Can you tell us more precisely where you're going? What trailhead will you be using and where will you be heading? We might be able to offer more specific advice, and we promise not to steal your bike.