Landscapers do grading as part of their services in some cases. It depends on what you need done and what the landscaper offers. You may want to ask specifically if they offer grading services or get a referral from someone you know who has used a landscaper for grading work.

There is a lot of crossover between landscaping and grading, but generally speaking, landscapers focus on aesthetics and grading contractors focus on engineering and moving earth. That said, there are plenty of companies that offer both services, so it really depends on the specific company you go with. If you're looking for a qualified contractor to do some serious grading work on your property, I'd recommend getting a few quotes from companies that specialize in grading. This will give you a good sense of what the average cost for this type of work is in your area.