In general, there are no differences in care or style suggestions whether one is growing a green leaf, or yellow leaf or variegated leaf form of a species. Cultural suggestions will be the same. From the name you gave it is not clear which species of False Cypress you have. Look closer at the tag and see if it lists a species name. Almost all species of the group are grown pretty much the same way.
Chamaecyparis - the false cypress group - are often used for bonsai. Many articles, many, many posts about them on forums. Look for posts about Hinoki - Chamaecyparis obtusa or Sarwara Cypress - Chamaecyparis pisifera. Both are classic bonsai subjects used by the Japanese for most of the history of bonsai. So in general all the members of the genus are good for bonsai and culture tips are pretty similar. Hit wikipedia's entry for Chamaecyparis, there is a complete list of the species there.
Aurea - or golden forms of trees are not often used for bonsai - largely because they are newer to cultivation, specimens old enough to make top level exhibition trees don't exist yet. Also the color of the foliage does not lend itself to all styles, many bonsaika's shy away from yellow colored trees, because to their eye they look more like a nutrient deficient tree rather than a healthy tree. Its a matter of personal taste. Some of the first aurea forms selected tended to be mottled, with less than complete yellow color - thus the look was not attractive. Newer forms have better color. If you like the look, great! Golden or aurea forms of a species can be nice, even quite nice, so there is no reason to not try to use it for bonsai.
So rather than re-type 1000 pages of info, please search on the terms Chamaecyparis bonsai, Hinoki, Sawara, Chamaecyparis obtusa, Chamaecyparis pisifera and read some of the hits you get. Lots of good information out there.
