Can someone tell me if they know what type of bug this is? If so, how do I get rid of it as it seems to be eating the leaves.
That is a katydid, which is any insect in the family Tettigoniidae. Yours is from the sub-family Phaneropterinae. It's a California Anglewing, Microcentrum californicum. It's probably not causing much damage on your plants, but you can control it with a general insecticide.
Here's a comparison picture:
It is hard to see clearly, but it looks as if the body is shaped rather like an elongated leaf, with the back end narrowing down almost to a point. The eyes are definitely yellowish with black centres, it should have six legs, jointed in the manner of the two I can see in the picture - if I'm seeing it properly, this is a green katydid, and its one of those that does eat plants - usually sticks around on whatever plant it likes most and eats that. Presumably there is some local treatment appropriate for these if you have a heavy infestation, I'm in the UK, so don't know what you'd use - maybe someone else can advise on a suitable pesticide, if its necessary.