Bergama’s various archeological sites are so widely spread out that only the most ardent (and thrifty) of walkers would insist on walking to them.
The entrance to the Acropolis is accessible on foot from the old town, but the most direct route is an uphill path that can be hard to find, while the main road, which is also steep, is not particularly direct, doubling back on itself for about 5km. Most visitors choose to ride up to the ticket booth by cable car and then walk down through the ruins.
The Asklepion is also an uphill hike from the town centre, either on a steep track or along a winding road. Both pass through a large, clearly marked military zone (no photos), closed to all traffic at dusk. More walker-friendly are the Archeological Museum and Kızıl Avlu, around 1500m apart and at the southern and northern ends of Bergama’s main road respectively.