I wouldn't discount your Squier just because it's a Squier. Some of them play great. A label is just a label. I presume is it has 3 single coils; that is a primary weapon for Blues.
As has been already said, if you are new to playing, I'd just stick with what you have for now. More comes from within than without.
Probably a decent amp is what to look at first. If you have one that came with a guitar package, it may leave something to be desired. I'd recommend a Fender Vibro Champ XD or Super Champ XD. I just can't say enough about those amps for the price.
...so ever since then, I always hang on to the buckle.