This is something that takes a bit of time and requires some research. Before offering shipping rates to your customers, you'll want to have an accurate assessment of what it will cost you to ship the item from the supplier to your customer. Suppliers will offer a variety of different shipping rates at different prices and these can vary significantly by country.
It's possible to use shipping profiles and shipping zones to dictate different shipping rates for the products you sell and to each region you sell to. I'd recommend starting out with a smaller number of products and selling to fewer countries at the beginning so you can do your research and set up your shipping rates with confidence. Over time you can then seek to expand your product catalog and the countries you sell to.
I'd also recommend checking out our Ultimate Guide to Dropshipping as this covers what you need to focus on when starting out with a dropshipping business. Please let me know if you have questions.
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