Looking on the internet deeply has found these results:

We are looking forward to see you again is the most popular phrase on the web.

we are looking forward to seeing you again 1337,000 results on the web	We are looking forward to see you again 12,170,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
We are looking forward to seeing the new EU Biodiversity Strategy and, of course, Parliament will have a lot of ideas and we are going to elaborate on this. the Commission has now announced that it will table its proposal for the Measuring Instruments Directive (MID) by the end of April. Gowron is looking forward to seeing you again. Naturally, we are looking forward to seeing how the individual rules and regulations turn out Really looking forward to seeing you again. You can't imagine how much I've been looking forward to seeing you again. She's been looking forward to seeing you again. We are looking forward to seeing his analysis of the results of the consultation.	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

we are looking forward to seeing you again

1337,000 results on the web

We are looking forward to see you again

12,170,000 results on the web

More popular!

We are looking forward to seeing the new EU Biodiversity Strategy and, of course, Parliament will have a lot of ideas and we are going to elaborate on this.
the Commission has now announced that it will table its proposal for the Measuring Instruments Directive (MID) by the end of April.
Gowron is looking forward to seeing you again.
Naturally, we are looking forward to seeing how the individual rules and regulations turn out
Really looking forward to seeing you again.
You can't imagine how much I've been looking forward to seeing you again.
She's been looking forward to seeing you again.
We are looking forward to seeing his analysis of the results of the consultation.

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.