contract note is NOT the certificate. it is simply the record/receipt of the order to buy.
If you asked for a CERTIFICATE you should get one in a few weeks. if you do not receive it, then contact your broker.
If the company in which you bought the share is not in IRL or UK, there might be a longer delay and some companies do not issue cetificates at all, holding al lrecords electronically.
Also, your broker may have bought them and holds them in the nominee account, to your credit. This means that you never appear on the shareholders register and all communications come through your broker.