Clarification
As I read this thread I see there is likely confusion over two different methods of "Mobile laptop" connectivity.
There are two entirely different air-interface methods, available and supported both in North America as well as the DR. They are either "Wi-Fi," a wireless access point ("hot spot") connected to the Internet using public, unlicensed frequencies such as 802.11 b, g or a, (this all encompasses the first type) OR connectivity via a wireless carrier ("cellular" company). Wi-Fi standards permit connections between computers many times faster than virtually any Internet connection publicly available. For Internet connection use they are limited only by the throughput of the ISP they are connected to.
The second option (cellular) is licensed spectrum under which the user must subscribe to access service... like your cell phone. As mentioned, some DR carriers (cellular companies) support various methods of connectivity, either IP based, or circuit switched (dialup). This may be done in some cases via a connection from the phone to the computer (USB or serial), or a dedicated PCMCIA card. The speeds under this form are entirely network dependent, and even most modern North American wireless air interface standards (CDMA 1XRTT or GSM GPRS) allow downstream speeds of only 128 kbps or less (usually less, often much less), and is of course subject to the RF level and with CDMA, network traffic loads as well)... again, network dependent. Faster systems are being deployed, such as CDMA EVDO or GSM EDGE, but are not yet widely in use. But in case this is not yet clear, a laptop user cannot access this method without being a subscriber to a wireless carrier... often as a dedicated "data" customer. Again, the hardware methods vary.
You can't show up at Playa Dorada, power on your laptop, and use this. (Cellular) Only the hotel or recent visitors can verify if public and/or hotel guest Wi-Fi is there if you have a laptop with "wireless," 95% of the time, meaning Wi-Fi, not cellular.
Why do I explain... Good question....
I just read the well intentioned, or perhaps now, well-deleted, posts of Ben Dover and sense an eagerness to consult in matters of wireless connectivity, yet detect perhaps a lack of experience and knowledge. I don't enjoy seeing folks being given bad advice if I know it to be contrary to fact.
I am hardly an expert in these matters... more of a hobbyist ... but I suspect I may be saying here what other readers far more knowledgeable than me have been tempted to: Ben Dover, you may want to take a deep breath... do a little reading...
Internet, computing, wireless connectivity ... it all can be quite overwhelming for sure... but please don't add to people's confusion. It's just not helpful.