Beijing is a city with a rich history and culture, and there are plenty of things to see and do. Here's an ideal itinerary for 3 days in Beijing:

Day 1:

• Start your day by visiting the iconic Tiananmen Square, which is the largest public square in the world. You can take a stroll around the square and admire the impressive architecture of the surrounding buildings.
• Next, head to the Forbidden City, which is located just north of Tiananmen Square. This ancient palace complex was once home to Chinese emperors and is now a UNESCO World Heritage Site. Spend some time exploring the various halls, courtyards, and gardens within the Forbidden City.
• In the afternoon, visit the Temple of Heaven, which is another UNESCO World Heritage Site. This temple was used by emperors to pray for good harvests and is surrounded by beautiful gardens.

Day 2:

• Start your day by visiting the Great Wall of China, which is one of the most famous landmarks in the world. There are several sections of the wall that you can visit, but the Mutianyu section is one of the most popular. You can hike along the wall and enjoy stunning views of the surrounding countryside.
• After visiting the Great Wall, head back to the city and visit the Summer Palace. This palace complex was once a summer retreat for Chinese emperors and is now a popular tourist attraction. The palace is surrounded by beautiful gardens and a large lake, and you can take a boat ride on the lake if you'd like.

Day 3:

• Start your day by visiting the Lama Temple, which is a Tibetan Buddhist temple located in the heart of Beijing. The temple is known for its intricate architecture and beautiful artwork.
• Next, head to the Hutongs, which are narrow alleyways lined with traditional courtyard houses. You can take a rickshaw ride through the Hutongs and get a glimpse of what life was like in old Beijing.
• In the afternoon, visit the National Museum of China, which is located just east of Tiananmen Square. The museum has a vast collection of artifacts that showcase China's rich history and culture.

That's it! This itinerary will give you a good taste of what Beijing has to offer. Of course, there are many other things to see and do in the city, so feel free to adjust the itinerary to suit your interests.