There is a free minibus service several times a day from outside the hotel to Pelekas which has shops, bars and restaurants (more info at
http://www.pelekas.com). Otherwise it is a 30 minute walk with the first 15 minutes uphill.
A taxi would probably cost about 10 euros each way. The local taxi driver is called Thodoris and his number is 6944962940.
There is also a regular bus service between Corfu Town and Glyfada.
My advice would be to enjoy your beach holiday but have a day in town on the bus, get the free minibus to Pelekas for an evening's eating and drinking and get a taxi back to the hotel, and rent a car for a day to see a bit more of the island. The week will pass very quickly!
Incidentally, the local car rental company can be found at
http://www.corfumegarentacar.com and may be cheaper than the companies offered by the tour operator.