Yes, you should go directly to the "Classify" tab and choose a classification method that performs embedded feature selection (eg. J48 tree classifier).
No, SVMAttributeEval is not an embedded feature selection strategy. Yes, it is based on SVM but the algorithm then returns a ranking of features. You can get more info regarding this particular feature selection method in the original paper: http://www.thespermwhale.com/jaseweston/GENESEL.PDF