[dominions]

What level are you? If it's low level then as a bard you will only get one attack per round. Bards are not really designed for combat and only start getting multiple attacks per round at 8th level.
At 8th level you should be able to effectively attack faster as you are now attacking twice in the same space of time. An example of this is:
Below 8th level (assuming you get initiative)
Round 1:
You attack
Enemy attacks
Round 2:
You attack
Enemy attacks
Round 3:
You attack
Enemy attacks
etc.
At 8th level or above:
Round 1:
You attack
You attack
Enemy attacks
Round 2:
You attack
You attack
Enemy attacks
Round 3:
You attack
You attack
Enemy attacks
etc.
The round takes no more time than before, but now you're attacking twice in it, thus seeming to go faster.

Initiative is something that determines who goes first in a round. It is determined by a random number, how high your/the creatures dex is, and bonuses from various feats you can take (like improved initiative (gives +4 I think). Anyway, whoever ends up with the highest initiative score goes first in a round.