Bianchi Via Nirone 7 Sora Compact 2015 Road Bike upgrades

I'd definitely recommend getting some pedals if you want to get into cycling 

Seriously though, if you're just starting out and planning on riding in winter, get some good kevlar tyres, as someone mentioned above.  However, there's nothing wrong with what you've got at the moment overall, so just get out and ride, and then you can upgrade other stuff as it wears out, or if you find something in particular you don't like, or if you find yourself doing a lot of long trips or a lot of climbing then you might want to consider lighter components. 

+1 for a decent pump, when I started I would pump up my tyres with a mini pump. Invested in a cheap Track pump (make sure it has a pressure dial) and BOOM! flew around my next ride.

Stick some Zondas on and some Shimano 105 5800 callipers and it will be amazing. Also a 105 5700 chainset will go on fine (Its 10 speed but will work perfectly with the rest of the 9 speed). It will save you some weight and be a lot stiffer to pedal.

Stick with what you've got.  Enjoy it.  Spend only what you need.  Save up for a jazzy bike.  Then use the Bianchi as your 'winter' bike. 

I've got the same bike but from 2013 and with the Campag Xenon spec. The best upgrades I've found for minimal spend are:

new brake pads - the Dura Ace replacement pads fit your brake calipers, only cost about £10 per wheel and provide much better stopping (you only need to get the pads, not the whole brake shoe)

New tyres - almost any folding/kevlar bead tyres will be better than the stock tyres - there are loads of threads about which to go for depending on your need - I went for Continental GP4000S's - lighter, less rolling resistance, better grip and better puncture protection

this last one might sound odd but a decent pump! If you're running your tyres too soft any upgrades you pay for will be practically wasted - apologies if I'm teaching you to suck eggs but it's definitely the cheapest 'upgrade' I've found!

Personally I'd recommend starting with these before investing in new wheels etc unless you've got the cash to hand already as you'll feel the benefit straight away and can keep them even when you buy new wheels. If you have got the money then the wheels should be next on your list as the stock ones are quite heavy and aren't very stiff. Afraid I can't say what you should go for but again there are loads of threads about which wheelsets to go for on various budgets

Good quality wheels, new chain and cassette, good quality brake pads and it'll feel like a new bike. 

I'm no expert but through what I have read the wheels are the first place to look, without breaking the bank maybe some Campagnolo Zonda wheels?  What do other readers think?