The "-" sign is not text, but a control for closing the group node. If you do not want that control to be displayed, change "File" -> "Preferences", tab "Display", option "Group State Icon" to "Never Show Group State". Changing this option will however affect all group nodes.
To remove the "Group 1" text, select the group node and clear the its "Text" property. Additionally, you might want to change label properties "Background" to "No Color" and "Size" to "Fit Content".
A node may only belong to at most one group node. Thus yEd is not well-suited to creating venn diagrams. Nevertheless, it is possible to do so by creating the visual impression of one node belonging to multiple groups by using semi-transparent background colors. yEd even comes with a venn diagram sample, see "Help" -> "Example Graphs" -> "Visual Features" -> "venn_diagram_ps3.graphmlz".