There are several ways to access it, and you can in fact walk straight there from the town. At the end of Kasprusie street, you can follow the red trail through the Strazyska valley. It is about a three hour hike all in all, culminating in a difficult rocky stretch at the end.
Alternatively you could take the cable-car from Kuznice to Mount Kasprowy Wierch. From there you can follow a red trail over the peaks of Kopa Kondracka all the way to Giewont itself. This is a big hike, involving some ten hours or so.
A final route to the Sleeping Knight takes you through the Malej Waki (the Little Valley)
*Please describe how you get there from a major city in Poland.
In good weather very beautiful chance for Zakopane and environment. The north side of the summit is 300 meters a steep wound. In the summer very much people on the way