Saligrama stone? What is it? Is there special worship needed?

The Hindu religious scriptures (puranas) are often rich in mythological stories and written with excruciating details. Instilling and elevating devotion through adoration and admiration is the core intent.
Stories, events, and battles of good vs. evil highlight divinity and related characteristics. Usually, the victory of good has rewards in this life or a later one. Evil actions have penalties delivered through a curse. These now materialize now or later in the reincarnating cycle of birth and death.

saligrama stones are ammonite fossils found near the river Gandaki in Nepal. They date back hundreds of millions of years ago. The name is derived from the place where the stones are found. Mythological stories of war, love, and devotion conclude the fossil stone to be an inanimate form of cosmic divinity. The story is that the divine took the name and form of a stone to remain accessible and in communion with believers. In some parts of India, they celebrate this communion through a wedding between saligrama and a basil plant.

Over the centuries, to the traditional Hindu, the fossil became precious and an object of devotion. Being a fossil, over millions of years, the stone formation got etched with marks and designs. Many revere these shapes, patterns, and designs giving different names for stones with different patterns.

An orthodox Hindu handles the stone with extreme care worthy of the highest forms of worship. The saligrama stone has the same, if not a higher status than a deity in the puja room.

From a spiritual aspect, the Gita does not have any references to the saligrama. The Gita and Upanishads take an all-pervading view vs. selective pervading. There is equanimity in the Gita. It does not discriminate among the elements of this cosmic universe. The all-pervading divine energy is in every animate and inanimate being. The saligrama is no exception.

Consistent with the Hindu traditions, one could symbolically worship the saligrama as a representation of the divine, no different than the main deity in a puja room.

Krishna, the preceptor of the Gita says:

मेरुः शिखरिणाम् अहम् 
सरसाम् अस्मि सागरः
स्थावराणां हिमालयः 
meruḥ śikhariṇām aham ||10.23 ||
sarasām asmi sāgaraḥ || 10.24 ||
sthāvarāṇāṃ himālayaḥ|| 10.25 ||

I am the source and in every element; I am the mountain peak and the highest of the mountains, the Himalayas, the water in this universe and the ocean itself.