You are hearing two different notions of task. The first is the notion of a job, and the second is the notion of a process.
A long time ago (in computer terms), there were no threads. Each running instance of a program was called a process, since it simply performed one step after another after another until it exited. This matches the intuitive idea of a process as a series of steps, like that of a factory assembly line. The operating system manages the process abstraction.
Then, developers began to add multiple assembly lines to the factories. Now a program could do more than one thing at once, and either a library or (more commonly today) the operating system would manage the scheduling of the steps within each thread. A thread is kind of a lightweight process, but a thread belongs to a process, and all the threads in a process share memory. On the other hand, multiple processes can't mess with each others' memory. So, the multiple threads in your web server can each access the same information about the connection, but Word can't access Excel's in-memory data structures because Word and Excel are running as separate processes. The idea of a process as a series of steps doesn't really match the model of a process with threads, so some people took to calling the "abstraction formerly known as a process" a task. This is the second definition of task that you saw in the blog post. Note that plenty of people still use the word process to mean this thing.
Well, as threads became more commmon, developers added even more abstractions over top of them to make them easier to use. This led to the rise of the thread pool, which is a library-managed "pool" of threads. You pass the library a job, and the library picks a thread and runs the job on that thread. The .NET framework has a thread pool implementation, and the first time you heard about a "task" the documentation really meant a job that you pass to the thread pool.
So in a sense, both the documentation and the blog post are right. The overloading of the term task is the unfortunate source of confusion.