Modestly. Two coastal-line stations sit inside the village and about one in fifty residents actually use them for the commute. Roughly six in ten people drive to work. About three in ten work from home. That is the connectivity picture, honestly stated: the infrastructure exists, and most people have organised their lives around not needing it.
Rail runs through the parish rather than to it. Pevensey and Westham Rail Station and Pevensey Bay Rail Station both sit on the coastal line, and the wider corridor also carries Normans Bay Rail Station, Hampden Park (Sussex) Rail Station, Eastbourne Rail Station, Polegate Rail Station, Cooden Beach Rail Station, and Collington Rail Station within reach. The train-commute share of about one in fifty is not a comment on the timetable, it is a comment on the demographic: this is a place where the working-age share is smaller than the retired share, and where people who do commute mostly go by car. Bus provision is broader than it looks on paper, with around 158 bus stops sitting inside the bounding box for the village and its surroundings, but only about one in a hundred residents commutes by bus, which tells you how much of that network is set up for daytime local trips rather than getting anyone into a serious job.
Broadband is the story that flips the picture. Almost every premises can get superfast, at a coverage of around 97%, and gigabit is available at about 56% of premises, which is respectable for a rural coastal parish and a genuine reason the working-from-home share sits where it does. Fewer than one in a thousand premises fall below the Universal Service Obligation floor. For anyone whose job travels down a fibre-optic cable rather than a train line, this village is materially better connected than the rail commute suggests.
Getting about is a car conversation. A typical journey by car to the nearest town centre is around fifteen minutes; by public transport it is around twenty-seven minutes; by cycle around twenty-nine; on foot just under eighty. Reaching a primary school takes around nine minutes by car or twelve on public transport. Reaching a secondary school runs to about eleven minutes by car or twenty-five by public transport. Those numbers make sense of the sixty-percent drive-to-work share: for most journeys, the car does what public transport doesn't quite do fast enough, and the household budget carries an extra vehicle to make it work. About half of households have two or more cars in the driveway.
The overall connectivity verdict lands at average, which is what you get from strong broadband, a rail line that runs through but is little used by the residents, and a bus network that covers the daytime but isn't structured for commuters. Pevensey is well connected in the digital sense and modestly connected in the physical one, and how well that ratio works depends entirely on which end of it your working life actually needs.