First let me know how you check your website and then you can know if you don't have any Google backlink. If you use a tools, you need to consider, sometimes error and sometimes these tools do not always show accurate data.
And if the possibility of the above is not possible, you may need to consider about the quality backlinks that you think you have made. Google will index more quickly for the backlinks which have enough quality. Backlinks that came from authority sites or high PR sites.
Da my advice, you may not be too worried about the number of Google backlinks that you have, if you feel you has made a quality backlink. Even websites with a few backlinks (that indexed by backlink checker) been at the top position of Google search results.
And to get more quality backlinks, you can try such "common" techniques such blog commenting related niche, forum posting, social bookmarking, ect.
Thanks, Deny Saputra