"Get through" and "get over" are both phrasal verbs that are often used interchangeably, but they have slightly different meanings: "Get through" means to complete or overcome a difficult or challenging task or situation. For example, you might say "I need to get through this stack of paperwork before the end of the day" or "I don't know how I'm going to get through this tough time, but I know I'll find a way." "Get over" means to recover from an emotional or physical difficulty or setback. For example, you might say "It took me a long time to get over the loss of my job" or "I'm slowly getting over my fear of flying." In summary, "get through" means to overcome a difficult situation or task, while "get over" means to recover from an emotional or physical difficulty.

it depends on the context. both phrases can be used both literally and figuratively.

The preposition "over" has several meanings, but the one intended here is "at the other side of, or beyond". "To get over something" means to move beyond it, so it no longer bothers you. The meaning of "through" here is "passing in one side and out the other". In a sense, the two prepositions describe the same thing, passing through some sort of a tunnel and emerging from the other side. However, "through" puts the emphasis on the passage through the tunnel whereas "over" puts the emphasis the emergence on the other side.

To get through sounds like the situation is still happening. To get over sounds like it has happened in the recent past.