Bursa, a modern and industrial city, revolves around mosques, mausoleums and other buildings born at the time when it was the first capital of the Ottoman Empire. Despite the overcrowding and confusion, the historic centre of the Ottoman era, which seems to resist the passing of centuries, and the many parks make it a place full of quiet corners. If after a long walk in the old town you want to rejuvenate with some fresh air, the high peaks of Mount Uludağ (the main ski resort of Turkey) are 22 km away.
The important contribution it has made to the development of Islam has given it a rather austere reputation; so it will not be difficult for you to see mosques overflowing with veiled and faithful women in prayer. However the local inhabitants are welcoming and friendly, and occasionally you will be allowed to take some photos inside the historical places of worship. The important thing is to ask with respect.