Weekend in Melbourne

A working library in a stunning 19th-century building. The domed La Trobe Reading Room is the showpiece. Free exhibitions cover local history, Ned Kelly's armour and contemporary p

Tip: Take the Lift to the top of the dome—the panoramic view over the reading desks is worth the ride. Just off the main entrance there's a free cloak room. Bring a notebook and read at one of the original long tables.

The city's oldest market, running since the 1870s. Open stalls for fruit, veg, deli goods, hot food and crafts. No entry charge, though you'll likely spend money on things you can

Tip: Go Wednesday night for the summer Night Market (free entry, but extra stalls and music). The deli hall has excellent boreks from the Turkish stall. Bring cash—some produce stalls are cheaper than card-friendly ones.

Australia's oldest and largest art museum. The permanent collection spans indigenous art, international works and a superb photography gallery. The Great Hall with its stained-glass ceiling is a sight

Tip: The NGV Triennial (summer) and major ticketed exhibitions cost, but the entire permanent collection is free. Go on Friday evenings when it stays open late and there's often live music. Queue for the water-wall out front.

Classic Victorian-era park with elm avenues, ponds and the old Captain Cook's Cottage (free to view from outside; small fee to go inside). The Conservatory gardens are beautiful and free.

Tip: The fairies at the Fairy Tree (a stump carved with tiny doors) are a favourite for kids—look near the pond. Walk the 'Model Tudor Village' (a bit kitsch but fun). Pack a picnic: the lawns are quiet on weekdays.

94 acres of landscaped gardens, lakes and rare plant collections. Packed with locals walking, picnicking or reading under trees. The Children's Garden and the Aboriginal Heritage Walk are genuine high

Tip: Arrive before 9am to spot wild rosellas and ibises. The Guided Aboriginal Heritage Walk runs at 11am most days — sign up online, it's free but fills quickly.