Informal:
* Ça va bien aujourd'hui. (This is the most common and natural way to say it.)
* J'ai une bonne journée. (This means "I'm having a good day.")
* Tout va bien pour moi aujourd'hui. (This literally means "Everything is going well for me today.")
Formal:
* La journée se déroule bien. (This is a more formal way to say "the day is going well.")
More specific:
* Je suis content(e) de ma journée. (This means "I'm happy with my day.")
* J'ai passé une bonne matinée/après-midi. (This means "I had a good morning/afternoon.")
You can choose the phrase that best suits the situation and your relationship with the person you're speaking to.