A little further up, there is another temple with a large Buddha under construction (free entrance) whose platform offers a magnificent view over Wat Phra That Doi Saket and the valley. A little further away is a garden with statues of scenes from Lord Buddha's life.
To get to Doi Saket by local transportation from Chiang Mai, you have to go to Warorot Market and find the yellow cars (songthaews) that go there. I do not know their frequency but the price should be around 35 THB. Don't forget to also ask about the return before getting to avoid having trouble to come back to Chiang Mai. Best to visit this temple is to have your own mean of transportation.
Wat Phra That Doi Saket is a temple and when you visit a temple in Thailand there are some rules to know and follow :