If Pakistan strikes military targets, like some in Twitter space are claiming that they have already done, then this will really escalate.Pakistan will have to retaliate in a visible way. The problem is if India attacked some rural area and called it a terrorist site then both sides may have been able to sweep it under the rug. Except India bombed 3 Pakistani cities, which includes the 13th largest Pakistani city. If Pakistan doesn’t response then the current government has effectively ceased to be the legitimate government for their general public.
Here's how they match up in terms of strength.
Pakistan AF > Indian AF
Pakistan Navy < Indian Navy
Pakistan Army = Indian Army
These two have fought 3 times but I will also note that the last time they fought Pakistan didn't have nukes so things are a little bit different.
I think we are miles off this reaching nuclear escalation but for now it will be an air and missile strike show. If there's a ground invasion, then nuclear escalation will be a real possibility.