MongoDB.Bson (2.5+) has support to map between BsonValues and .Net objects.
BsonTypeMapper Class
To map a BsonValue (or BsonDocument) to .Net object use
var dotNetObj = BsonTypeMapper.MapToDotNetValue(bsonDoc);
You can then use your choice of serialization library. For example,
JsonConvert.SerializeObject(dotNetObj);
If you have a List of BsonDocument
var dotNetObjList = bsonDocList.ConvertAll(BsonTypeMapper.MapToDotNetValue);