Translation:It is 6:06.
一分 = ippun 二分 = ni fun 三分 = san pun 四分 = yon pun 五分 = go fun 六分 = roppun 七分 = nana fun 八分 = happun or hachi fun 九分 = kyuu fun 十分 = juppun
It's just one of those things you have to memorize, really. It's also somewhat regional, where people will pronounce it differently depending on where in Japan they're from.
Because 6:06 is a time of day, read as "six oh six." What you wrote is a description of a period of time, read as "six hours six minutes." They are different things.
If someone asked you what the current time was, you'd never answer "6 hours 6 minutes." On the opposite end, if someone asked how long until your plane takes off, you'd never answer "6:06."