It shows a significant positive correlation between Y and X, which imply that Y increases as X increases i.e a direct correlation exist between Y and X.
R squared linear gives the value of variance accounted by one variable for difference in another variable. Here x accounts for 53 percent variance in y.
As stated above the R squared tells you that there is 53% shared variance between the variables. That is a linear regression calculation, predicting one variable from the other. The line on the diagram is the regression equation for that prediction. It's not given there, but the correlation r value would be the squared root of .532, i.e. r = .729. A very high correlation. However there is clearly one extreme outlier which would mean that these regression and correlation values should not be relied upon. You may have to remove the outlier (the score that is over .03 on the X axis) and recalculate. If you are only interested in the correlation, then maybe you could run a non-parametric correlation instead and you would not have to remove the outlier. The r value will most likely be much lower with a non-parametric analysis.
R square of 0.53% showed that X is a determining factor of Y in 53% of times. In other words, the value of Y can be explained solely by X in at least 53% of cases.