You would need to create YouTubeService object and can get search results for the keywords
YouTubeService youtubeService = new YouTubeService(new BaseClientService.Initializer()
{
ApiKey = "dfhdufhdfahfujashfd",
ApplicationName = this.GetType().ToString()
});
var searchListRequest = youtubeService.Search.List("snippet");
searchListRequest.Q = "cute cats";
searchListRequest.MaxResults = 10;
var searchListResponse = await searchListRequest.ExecuteAsync();
var videoId = searchListResponse.Items.First().Id.VideoId is the unique id of the video
// Video Request
VideosResource.ListRequest request = new VideosResource.ListRequest(youTubeService, "statistics")
{
Id = videoId
};
VideoListResponse response = request.Execute();
if (response.Items.First() != null && response.Items.First().Statistics != null)
{
Console.WriteLine(response.Items.First().Statistics.ViewCount);
}