There are numerous internet cafés in Puerto Plata, including at least one satisfactory one. If you can offer something the others don't have then you may succeed, but it doesn't immediately strike me as a service desperately needed in the area.
I don't know anything about running a business in Colombia but gringos running small businesses in the DR can suffer lots of harrassment, even blackmail, from the police and local authorities, especially if they are competing with Dominican owned businesses. On top of that are the frustrations of getting anything supplied, fixed or maintained reasonably promptly, the frequent and prolonged power outages, the lack of any efficient postal service meaning everything has to be couriered in from abroad, and the near impossibility of finding an efficient and honest lawyer to take your side in any dispute with locals.
Maybe 10% of gringo-owned businesses make it through the first year and maybe 1% past the fifth year.
If you like a challenge, go for it!
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