The country is very well developed for walking. Switzerland is criss-crossed with about 65.000 km well marked and maintained footpaths. The footpaths often take you directly from the towns and cities into the countryside. Many trails take you into alpine country and you should then pay attention to your equipment and safety.
Seven national long distance footpaths cross the country. Guidebooks in German and French are available. A large number of guidebooks are published. Most are in German although some are in French.
Overnight accommodation is readily available in hotels, youth hostels and huts.
The Schweizer Wanderwege can provide you with much useful information and you can order walking maps.