SST us extremely important resource as far as monitoring climate variability and climate changes for sea surface is concerned. You may check NASA's weblink earthdata.nasa.gov or World Met. Org.'s weblink wmo.int or Indians INCOIS's weblink incois.gov.in for more details.

Atul Kohli what does SST stands for? Sorry I am not familiar with the term

This study is novel, I am also carrying out a similar research over the Gulf of Guinea. You would need to access the topographic data from the USGS data archive, there you can download the actual SRTM/ASTER(DEM) data covering your study area. After the data acquisition, you can then perform datum conversions and re-projections. Then, you can process the Digital Elevation model for the area using Spatial Analyst tools, creating TINs, etc.

You will then calculate the levels of sea surface heights at varying distances from the shoreline.

If you have access to LIDAR images, It would generate a better inundation results.

check out this article for further explanation.

Sea Surface Temperature. As the same is changing for Seas all over the world, the same is causing for sea level rise, which in turn brings changes in coastline, may be in association with sea waves and currents. This in turn causes for coastal erosion, permanent or time-dependent/periodic inundation. Freely available Digital Elevation Model data and satellite imageries can be of some help while analyzing coastal inundation and shoreline changes. Or else, as Dr. Samuel said, specifically done surveys through LiDAR would be even better.