I- Place du Luxembourg (at 1 minute)
Markets, bars, restaurant, taxis.. you can find anything you want around this place.
Tips for you: every Thursday evening, after-work in every bar.
II- Espace Léopold and parlementarium (at 3 minutes)
You can easily visit this place according to the opening hours for tourists.
III- Place de Londres (at 5 minutes)
Lot of bars and restaurants.. More info here: https://fr.yelp.be/search?find_desc=place+de+londres&find_loc=Bruxelles%2C+Bruxelles
IV- Filigranes Library (at 10 minutes)
Situated between 2 subway stations (between Trône and Arts-Loi), this library proposes you not only books, but also cupcakes, cheescakes..
V- Chaussée d'Ixelles and Matongé district (at 10 minutes)
Matongé District is a very animated one, with lot of bars and restaurant. Concerning the Chaussée d'Ixelles, the main street is lined with shops, you've the choice. You've already some shops at Toison d'or Avenue.
VI- Royal Park and Royal Palace (at 10 minutes)
You can visit the Royal Palace between July and September basicaly.
VII- Place St Boniface (at 10 minutes)
You have many restaurants and bar around the place, but you've also St Boniface church.
Tips for you: you're too close to Chaussée d'Ixelles not to go!
VIII-Royal Belgian Institute of Natural sciences (15 minutes)
Exhibitions are always changing, you can't see the same thing two times !
IX-Parc du Cinquentenaire & Royal Museum of the Armed Forces and Military (20 minutes)
It's a great opportunity to having a walk.. The park is built around an old city gate.
It seems a shame to miss that while it's so much close to the hotel..