i am working on my new project and for that a am fetching Search results from google without using their API etc.... so i wanted to know if google has any problem with this if someday i make a lot of queries from the site ?
Yes. Automated queries are explicitly prohibited in Google's Terms of Service. If they detect your automated queries, they will start to block them. If you make more requests in a short period of time than a real user might reasonably do, then you're bound to be blocked - at least periodically.
If you need only the first 64 results you can use Google AJAX Search API. It's free and doesn't have limitations for the number of queries.