It is of course too soon to know (but never too soon to speculate)!
While still a candidate, President-elect Trump released two lists of potential Supreme Court nominees to fill the current vacancy on the Court. While he has indicated that these lists are definitive, only time will tell whether he will in fact stick to them when making a nomination. Both lists were well-received by conservatives.
President Trump should have little trouble getting a conservative nominee through the majority-Republican Senate. If Senate Democrats filibuster Trump’s nominee, Senate Republicans are likely to exercise the “nuclear option,” meaning only a simple majority of Senators will be needed to confirm the nominee.