SD Cards:
Your camera can take full advantage of UHS 1 only if it support that protocol. However, in general UHS 1 based cards are faster than normal class 10 cards (and expensive as well). For example, I have two cards. First one is Sandisk Extreme, a class 10 card with data transfer upto 45 MB/s. It also support UHS 1 protocol. My second card is Transcend class 10 card (data transfer around 20 MB/s). What I have found from my personal experience with Canon 600D that even though the camera does not support UHS 1. Still UHS 1 based card (Sandisk) is always faster than a decent class 10 (Transcend without UHS 1) in continuous shooting.
Camera Buffer:
Size and speed of buffer memory is another factor which can affect the data transfer of card as well camera performance. Larger buffer would allow you large number of continuous shoots but after some time it will take its time to transfer the data to card. Then the speed of the card comes into picture.
Summary:
In general, faster card say UHS 1 card (SanDisk has a card with upto 95 MB/s data transfer rate!) will give you considerable boost in data transfer between buffer to card and card to pc (you'll need an UHS supporting card reader to see full speed) even your camera may not support UHS 1 based card. Given a choice and budget, take class 10 card with UHS 1 support with fastest data transfer (Sandisk 45 MB/s or 95 MB/s).