This is one of the best recorded sentences I've heard in Latin Duolingo. Some others, even by the same speaker, and noisy, but whatever he did here he did right.
Could this also imply that you are going to visit later on today?
In English we can say "I am going to the store today" to mean "At some point I am going to the store today".
Does it work the same way in Latin?
No continuous present in Latin. So, I guess: yes.
Ooo! I got caught out there, thinking Patron not father!