Read mobile SMS online

Hello everyone,
Despite extensive searches on the internet, I haven't found answers to my question.

I own a Samsung Galaxy Ace from SFR, and I want to be able to read my received and sent SMS on my computer.

I thought I saw on the internet that it was possible through the SFR customer space to access these features, while others claim otherwise.

Is it possible to have a sort of online history that shows the different conversations we've had on our phones?

Thank you in advance!