Obviously, one of the best ways of getting around the city and seeing the city at the same time is by walking. Sometimes it simply isn’t necessary to use public transport to get around Istanbul. If your destination is nearby, then you will be able to simply walk and experience the culture at the same time. If you’re in a rush, however, then of course you should consider public transport.
You can also get involved with walking tours around the city. When you walk around the city you will no doubt come across many companies that offer this service, and if this is the kind of thing you’re interested in, then you will be able to pay a small fee to be taken around the city by an expert who will explain the historical and cultural significance of different parts of the city.