I had a look and according to Cairngorm NP the car park is open just now, but closed from 3rd of August according to Forestry.
No word of the road being closed so just drive up and have a look. There are other options but they are all further away. As already suggested the bike is a good option.
There is parking at Feshie Bridge and near the airstrip for the gliders but I would think you would get somewhere closer depending on what the Forestry are actually doing.
All the best.