It is a fantastic show! Many actors have played the Doctor since the show began in 1963. There have been eleven primary actors to play the Doctor, with Peter Capaldi set to play the Twelfth Doctor in August. (The number I gave isn't precisely accurate, but last year things got a little... wibbly-wobbly with the official count. )
The show is bizarre and complicated and exciting and dramatic, and moreover it is wonderful. I would definitely recommend watching it. Start with the first episode of the revived series, "Rose". It gives a fantastic opening to the concept and the characters, and is available on Netflix and Amazon. Definitely give it a try if you can!