Check out the secret-ish gardens within the Palais Royal a two minute walk from Le Lourve.
A garden hidden from the street, inside the Royal Palace. You will the the Buren columns there.
Ancient Royal palace, now wonderful promenade for tourists and parisians alike. :o) Don't miss the "Colonnes de buren" modern art before leaving the park, the Comédie Française building and the unique metro station decoration place Colette. 10 min walking distance