As all things, the answer is complicated. My understanding is the nomination goes to the relevant Senate Committee. The committee has a hearing and decides on whether to send the nomination to the floor for a full vote. (This is how the GOP bottled up Garland, they did not let the nomination out of committee.) There are 1200+ nominations needed senate confirmation, and there are enough pro-confirmation senators that this should happen. You may get some rogue trumpy senators that control a committee and seek to bottle stuff up.
Once you get the nominee to the floor, the ability to filibuster is gone, and a simple petition by 16 senators can force a vote.
That being said, they can surely slow walk process and make it painful.
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