Local radar; best for tracking approaching rain storms and cold fronts.
Weather Underground http://www.wunderground.com/US/FL/Punta_Gorda.html

Natioal weather map; shows high and low pressure zones and links to many other great maps and satellite images.  Weakness is that many images do not reach offshore; you can have a big storm coming in off the Gulf and will not show on many of these images.  This can be dangerous for Floridian's using these links.
Weather Channel National Map, weather.com http://www.weather.com/maps/maptype/currentweatherusnational/index_large.html

The NOAA GOES images cover the oceans and continents and are a must for tracking storms moving offshore in the Gulf.  They are good for showing high and low pressure circulation.

Best for hurricans approaching from the Atlantic.

NOAA Atlantic and Caribbean Tropical Satellite Imagery http://www.ssd.noaa.gov/PS/TROP/trop-atl.html

Home Page for NOAA GOES; you can get to the GOES links above and many others from here.
NOAA, GOES Home http://www.goes.noaa.gov/

Punta Gorda weather station at airport, via NOAA
http://weather.noaa.gov/weather/current/KPGD.html