Here is a suggested itinerary for a 5-day trip to Beijing, China:
Day 1: Visit the Forbidden City, the largest palace complex in the world and home to the imperial palace from the Ming dynasty to the end of the Qing dynasty. Walk around the nearby Tiananmen Square, the largest public square in the world.
Day 2: Visit the Great Wall of China, one of the Seven Wonders of the World. Consider taking a hike along a less crowded section, such as Mutianyu or Jiankou.
Day 3: Visit the Temple of Heaven, a religious complex where emperors of the Ming and Qing dynasties worshiped heaven and prayed for good harvests. Walk around the nearby Beihai Park, a large imperial park and garden with a lake in the center.
Day 4: Visit the Summer Palace, a vast imperial garden and palace complex built by the Qing dynasty. Walk along the famous Kunming Lake, the central lake of the Summer Palace, and visit the halls and pavilions in the palace grounds.
Day 5: Visit the Lama Temple, one of the largest and most important Tibetan Buddhist temples outside of Tibet. Walk around the nearby Houhai Lake, a picturesque lake surrounded by traditional courtyard, bars, and restaurants.
This itinerary offers a mix of iconic landmarks and cultural sites, and can be modified depending on your personal interests and pace. Enjoy your time in Beijing!