Peppers - perennial?

I've got a decent sized pepper plant in the living room by the patio doors. Had one decent pepper and a handful of golfball sized runts.

Will the plant survive the winter and will it come on better next year?

I brought all mine in and was waiting for a bit for the fruit to swell but white fly have attacked!!
Do they need greenery to survive or will they sit in the soil until Spring and attack again??
I've harvested now and pruned back hard so there's no greenery at all.......
Sorry...I seem to have gone off topic a bit!

tried this last year but not much better that starting off early from seed....