Have breakfast at Rose Bakery in Marais district. Try their organic granola or take a slice of pistacchio pie.
Walk around Marais
Walk around still sleepy Marais. Check out the small boutiques in rue Vieille du Temple and even smaller galleries around rue Charlot.
Musée des Arts et Métiers
Picasso Museum is closed, but you can visit the cutest Musée des Arts et Metier with retrofuturistic robots — the exhibition is on till March 03, 2013.
Breizh Café
Have creative Breton crêpe or galet (and don't forget the cider or even Kir with cider instead of white wine) at Breizh Café.
Marché des Enfants Rouges
Wander to the oldest and cutest market in Paris — Marché des Enfants Rouges to buy some cheese, confitures and wine for later or for souvenirs. Then enjoy a glass of natural wine in Versant Vins at the same market.
Dine at Des Gars dans La Cuisine
The chef is Portusuese and is really a genious when it comes to fish.
Experimental Cocktail Club
Head to rue Saint Sauveur to check out (or check into) Paris speakeasy bars: Experimental Cocktail Club and Jefrey's