In Connecticut is a surviving spouse responsible for paying deceased spouse's medical bills?

Unless the survivor(s) signed some type of contract or agreement to be responsible for the deceased's medical bills, it is the deceased's ESTATE which is liable for the expense - NOT the survivors.
HOWEVER: In reality, if the surviving spouse also happens to be the Executor of their deceased spouse's estate, they WILL, have to pay for whatever medical bills may be outstanding from the proceeds of the estate that they are administering.