Does sleep progressively get worse as you age?

No. There are several phases of sleep and one of the most important levels for maximum rest and renovation is delta phase. This is the deepest level of sleep in which hgh (human growth hormone) is released and in adults provides one of the most potented hormones that naturally helps prevent tissue and organ breakdown.
Yes. Yes as we age, our brain which is responsible for sleep patterns also age. We tend to wake up more easily, wake earlier, sleep earlier, sleep less with less deep restorative sleep. Medical conditions like sleep apnea and restless legs in addition to the normal aches and pains of aging can also affect sleep quality.