var database = client.GetDatabase("databaseName");
var collection = database.GetCollection("collectionName");
var newDocument = new BsonDocument { { "timestamp", DateTime.UtcNow} };
collection.InsertOne(newDocument);
Which should generate a document below in MongoDB:
{ "_id" : ObjectId("5761046d18bbc402248650a1"), "timestamp" : ISODate("2016-06-15T07:31:57.235Z") }
The snippet above is for MongoDB Driver v2.2.x and MongoDB 3.2.x.