Yes, there is. Boar bristles are easier on hair than cheapie plastic brushes and they redistribute oils throughout hair, boosting shine. There are many natural bristle brushes on the market, Mason Pearson is just the Cadillac of hairbrushes at $85 on up. Cheap, plastic hairbrushes aren't necessarily bad for hair (except for the ones with the double bristle, one long, one short -- these can tear at hair), they just don't benefit hair as much as natural bristles.
When looking for a good brush, consider if you need a round brush (great for blowouts)or a paddle brush (best for detangling). Also consider a brush with a mix of nylon and natural bristles if you have normal to thick hair. Natural bristles alone can be too weak for tangles and are best for fine to normal hair, according to the Mason Pearson Website. If you have coarse, thick hair, consider an all-nylon hairbrush, which tends to be stronger.
Check out our list of Best Hairbrushes on the Market.