"I've gone to Paris" = I am in Paris now
You might leave this as a note on your desk to explain to your colleagues why you are not 'here' this week. Note that 'gone' means 'not here now'. When your colleagues read this, they know that you are not in the office.
"I've been to Paris" = You spent some time in Paris and then you returned. You are not in Paris now.
This use of the present perfect can refer to:
1. A recent time period:
"I haven't seen you for a couple of days. Have you been away?"
"Yes, I've been to Paris. I only got back last night."
2. Your life experiences up to now:
"I'd love to go to France one day. Have you ever been there?"
"Yes, I've been to Paris. In fact, we had our honeymoon there."