Start your day by exploring the Lalbagh Botanical Garden, home to over 1,000 species of plants. In the morning, take a leisurely walk through the garden and admire the beautiful flora. In the afternoon, explore the glasshouse, which is a replica of London's Crystal Palace and houses various exotic flowers. In the evening, relax and enjoy a picnic in the garden.
On day two, visit the Bangalore Palace, a beautiful palace built in Tudor-style architecture that is reminiscent of England's Windsor Castle. In the morning, explore the palace and learn about its history. In the afternoon, enjoy a traditional South Indian lunch at one of the nearby restaurants. In the evening, visit the nearby Tipu Sultan's Summer Palace and explore its beautiful gardens.
If you have time, consider visiting Cubbon Park, which is a beautiful green space located in the heart of the city. You could also take a day trip to Nandi Hills, which is a popular hill station located just outside the city.
To maximize your fun in Bangalore, consider taking a food tour or a cycle tour of the city. You could also attend a traditional dance performance or visit one of the city's many art galleries.
For more ideas and suggestions, feel free to ask your hotel concierge or a local tour guide.