Yes, most hotels will have designated internet rooms or WIFI areas, internet access has been slowly improving over the years some hotels charge a small hourly fee and some hotels have started to roll out free WIFI.
Internet access in Cuba is rapidly improving - there are hundreds of wifi hot spots across the country. In 2017, Cuba's state-run telecommunications company Etecsa has signed a deal with Google that will enable faster access to content from the American company.
You may not be able to jump on WiFi in every single place you visit in Cuba but know that Internet access has dramatically improved in recent years.