The seeds of orchids are not like the seeds of most other plants in that they actually require a symbiotic fungus to germinate. This means you can not just sow orchid seeds in a pot like you would a petunia. I strongly suggest before you get in a big hurry to grow orchids from seeds you first consider the length of time it can take to produce your first blooming plant. It will be anywhere from 3 to 5 years from the time you get the seed to germinate before you will see a resulting blooming plant. If you are ready to care for the plants for that length of time, then follow these steps and you should have blooming orchids in a few years (with a bit of luck and if you do everything right that is).
The first thing is to make sure you know what you are growing. If an insect has come along and pollinated your plant, it could be crossed with the pollen of another orchid you do not want to grow. To avoid such surprises, you will need to hand pollinate your plants. If you do not know how to do this, there are many books available that cover pollination procedures for orchids such as HOME ORCHID GROWING by Rebecca Northern.
Considering the large investment in time it takes to grow an orchid from seed, you do not want to spend all those years growing something that is not of good quality. I would strongly suggest that you know the parentage of the plants you will be crossing and recommend only crossing pure species or award wining hybrids. This means you may have to make a significant investment in purchasing the parent plants from reputable orchidists or suppliers. You do not want to start with plants obtained from your local discount super store. You also need to understand the plants you raise will not necessarily all have the same flowers as its parents. You can even end up with many different variations of flowers out of the same seed pod. Because of this unknown factor, professional hybridizers prefer to use stem propagation where ever possible to keep all new plants consistent in blossom characteristics. For information about stem propagation, I suggest you read my previous article. Many of the techniques and materials used for stem propagation are the same used for growing orchids from seed.