Yes, all satellite internet packages on the market will restrict the amount of data you can download each month. These limits range from 10GB to 150GB. The former will make streaming all but impossible since one hour of Netflix in HD gobbles up 3GB of data. The more generous packages will allow you to stream some content, but with caution. If you blow past your allowance, buying additional data is expensive: HughesNet charges $3 per additional 1GB, while Viasat charges $10 per GB, with discounts if you buy larger packages.
Viasat sometimes claims it offers unlimited satellite internet plans, but this is somewhat misleading. While they won’t cut you off after you exceed your monthly allowance or necessarily charge you for data add-ons, they will slow your connection to a crawl, with speeds between 1 and 3Mbps.