You've only got 50 years of episodes to catch up with
I'd reccommend starting with reading up on wikipedia to give you a general series overview: https://en.wikipedia.org/wiki/List_of_Doctor_Who_serials
Or the website: http://www.bbc.co.uk/programmes/b006q2x0/episodes/guide
Then maybe start with the Christopher Ecclestone 9th Doctor revamped-era series one which began in 2005. Follow this with the following series 2, 3, 4 (David Tennant 10th), 5, 6, 7 (Matt Smith 11th) and 8 (Peter Capaldi - current Doctor).
The old series before these can be a bit shaky and is sometimes off-putting for newbies but there are some amazing and classic episodes (and Doctors) from old school Who.
Good luck. Alongside SW Doctor Who is my fave
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