If I take the train is it far? How long will it take?
Google tells you how to get to there.
Google Map http://maps.google.co.jp/
If you can read Japanese, Yahoo!Japan provides you more effective ways like below:
Anyway, I usually use Marunouchi-line of Tokyo Metro. It takes about 20 to 30 mins.
You can use JR line. But you have to transfer at Kanda (or Tokyo) and the station is Yurakusho=有楽町, not Ginza=銀座.