Time cures all but that's not much help when one is in pain. I've heard of tricks (I think Keith Richards promotes vinegar :) ) but I haven't used any myself.
When I picked up the guitar again after decades of inactivity my fingers hurt too. What worked best for me was multiple, short periods of practice/playing throughout the day. Instead of forcing my way through a half-hour of pain I tried two or three sessions of 10 minutes each or even less. That was a lot easier on me...the pain seemed to be less and the psychological boost knowing it was for a short time instead of "a whole half-hour!" made things easier too. Within a couple weeks I was up to half-hour sessions and soon much longer. Hang in there - "It gets better."
I personally don't think one should continue any activity once blisters are formed, guitar playing included. IMO, it's best to stop short of that...
And, hey! Welcome to the forum!!
"It takes a lot of devotion and work, or maybe I should say play, because if you love it, that's what it amounts to. I haven't found any shortcuts, and I've been looking for a long time."
-- Chet Atkins