'I'm looking forward to meet you' is a correct sentence that can be used in written English. For example: I'm looking forward to meet you at the conference next week.
I'm looking forward to meeting you sometime in the next ten years.
I am looking forward to meeting you in person someday soon.
I'm looking forward to meeting the rest of you when you get here.
"I'm looking forward to meeting Janet," I tell him.
I'm looking forward to meeting up with the family.
I'm looking forward to meeting her again.
I've met some great people, and I'm looking forward to meeting more.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com