In terms of logistics, it's an ideal location, as you'll have direct trams, buses and also Metro to other parts of the city (though the Metro, as ever with this transport form, has more walking than ideal).
Here's the central transport map https://www.gtt.to.it/cms/risorse/urbana/mappa/zona_centro.pdf
and the bigger city map
(expand to 100% to be able to read it).
Wrapping your head round this amazing 'puzzle' of a transport system can be both mentally taxing, engaging and also rewarding as it's very extensive. Finding yourself in a location and plotting how best to get home, or somewhere else. OK modern apps will answer the query directly, but I always find myself drawn to this complex visual puzzle, including when looking at the big maps in the bus/tram stops.
We tend to buy a 'giornaliero' (daily) ticket, but only on days where we are likely to need to get around by bus/tram
e.g. route 4 or 11 gets you up to the large daily market at Piazza della Republica (but note the return journey follows the one-way system and would drop you off on Via Arsenale.
7 looks quite useful as well, as it gets you close to the Mole Antonelliana (star 1 also handy) and up to the gardens behind Piazza Castello (and indeed Piazza Castello)
Route 64 gets you to (IMO) the best chocolate shop in a city that specialises in chocolates, Odilla at via Fratelli Carle #38. It's in the La Crocetta district that has a smaller daily market, and pleasant shopping away from the centre.
Piazza San Carlo is relatively close and it's a very classy open square housing some famous / classy cafes
61 gets you over the River Po to the Gran Madre church (one of the classic Italian job scenes, where the wedding was), and check if the Sunday market is still running as that was pleasant. Also worth seeing what events are on at the weekend in Piazza Carlo Alberto (indeed some of the weekend specialist markets in the city are especially good/interesting)
If out an about around ~ 6:30-8pm, aperitivo hour is a Torinese speciality, where for the cost of a drink you'll get anything from a plate of decent nibbles, to something rather substantial / access to a buffet of light food. I don't know where is good, but a look in the window can give a good idea.
For something quirky, try Pepino on via Lagrange for the original inventors of the choc-ice. This whole pedestrianised street makes for easy walking, and despite the loss of a brilliant cheese shop, still has some good / interesting shops
Kelemata do a lovely arome e spezie range, and especially the unisex deodorants in this range. The city shop is on Via Roma, not far from where you're staying.
Even if not using the station, Staz. Porta Nuova now looks lovely after it's major renovations, so spare a moment to look at the front, and also inside.
Worth seeing what TurismoTorino website has for things like boat trips / tramcar dining, as these are good ways to visit without having to walk too far. Handily there's a little tourist office kiosk at the Corso Vittorio Emanuele II end of the gardens.