There is a bus loop in Stanley Park. Only 1 public bus, the #19 Stanley Park goes to the loop year round.
This bus goes from Metrotown in Burnaby to Stanley Park via Willingdon Ave, Kingsway, Main St, E. Pender St, W. Pender St, W. Georgia St, and Pipeline Road to the loop.
You would take the #19 bus into the bus loop if you want to get to the heart of Stanley Park. From the bus loop you can easily get to the east side of Stanley Park. It is close to the Miniature Train, Lumbermens' Arch area, Vancouver Aquarium, Rose Garden, Rock Garden, Stanley Park Pavilion and Malkin Bowl.