Yes.
Original Medicare includes Part A & Part B. Your hospital care would come under Part A. Your doctor's services would come under Part B. However there would be considerable out-of-pocket expenses so most people purchase medi-gap insurance to cover what Medicare doesn't.
However if all you have is Medicare Part A (that's the one that you pay no premium for), there will be a lot of out-of-pocket expenses. If you opt to buy Part B (it costs around $94 a month) there will still be some out-of-pocket expenses. Many (most?) people who have Medicare Parts A & B also purchase medi-gap insurance to cover the rest. If your medi-gap insurance doesn't include Rx coverage you may purchase Part D Rx insurance from a private insurer.
Medicare Part A is hospital insurance. Part B is medical insurance.
You need to get yourself a copy of the 2008 ed of "Medicare & You". The text of this booklet is on their website: http://medicare.gov
If you are in a Medicare Advantage or Cost Plan, this takes the place of the purchase of medi-gap insurance. These plans will require you to purchase Part B. Some of them include Rx coverage; others don't. If they don't you may purchase Part D Rx insurance from a private insurer. Advantage plans require you to use certain providers. I have this kind of coverage with an HMO that I have used for 25 years.

