Unfortunately, neither response given to you by previous posters is correct.
Firstly, we can most certainly use Present Perfect (have/has + past participle) with the word "today". 'I have attended a session today' (notice the article 'a'). In this case, the day is not yet complete and you might attend another session later on, though we would probably add the word 'already'. However, by using the definite article "the", you are referring to a specific session which is now complete. As it was a 1-time, completed action, even if it is still 'today', you would use the Past Simple - Today, I attended the session
The second sentence could not be used as a stand alone sentence. The Past Perfect (had + past participle) is used to describe a past event that happened before another past event. As you have only mentioned 1 event (the session), there is no established timeline, so you wouldn't use the past perfect.