From the entrance on Queen Street, head left. You will quickly come across the Graeme Paterson Conservatory and Fernery. If you would like to take a look inside, it has specific opening hours. Otherwise, continue along the track to the Anderson Rose Garden.
You will see the Cenotaph War Memorial on your left as the road bends toward the right. When you reach the end of the road, go left and follow the perimeter of the gardens. On this road, you will see the hospital, the Lower Duckpond, plant collections, another rose garden, and much more.
When the road bends to the left, go straight instead and walk down the hill on the grass. Head right at the playground. You will pass the aviary and climb up to the Robert Burns Statue. If you continue straight, you will find yourself back at the entrance.
This is only the most direct route around the gardens. It is possible to explore the many tracks off the road through the park. You will be able to discover the Upper Duckpond, the Education Centre and the Bowling Club, as well as endless more flowers and plants.