No, you will not notice any difference; it's too early for you for that. Just a few checks... Are you sure that you're tuned correctly to concert pitch (A = 440 Hz...)..? Are you playing for too long at a time..? Are you trying to 'cut corners' and play above your pay grade..? Can you post a photo of your guitar, please..?
Most beginners, of any age, find the first few days a bit uncomfortable, even with nylon strings, but I've not come across anyone having their 'fingers killed'. There is something quite wrong somewhere, which needs to be addressed before you either do yourself some damage, or give up, or both. Let's see your guitar, first, and in the meantime, restrict your practicing to 5 or 10 minute sessions, once or twice a day. For the anecdote : my first guitar was a Russian-made, very cheap, classical guitar, strung with steel strings. I knew nothing, and bought, with the guitar, a method book, by Mickey Baker. Page Two was full of jazz chords; in my ignorance I started to learn them, with great difficulty and much pain. That, though was steel strings, and complex jazz chords. What method or instruction system are you using..? A book..? You-tube..? A guitar tutor would be of great help, of course; is that an option, at least to get you started..? Over to you...
Douglas