Creating unique groups

I have this XML representing 2 groups (spread across 4 group elements):

<root>

        <group name="group1">
                <entry name="entry1" />
                <entry name="entry2" />
        </group>

        <group name="group1">
                <entry name="entry3" />
        </group>

        <group name="group2">
                <entry name="entry4" />
                <entry name="entry5" />
        </group>

        <group name="group2">
                <entry name="entry6" />
        </group>

</root>

What would be the best approach to turn it into the following output, 
where the name of the group is used as the identifier of what should be 
a unique group element?
<root>

        <group name="group1">
                <entry name="entry1" />
                <entry name="entry2" />
                <entry name="entry3" />
        </group>

        <group name="group2">
                <entry name="entry4" />
                <entry name="entry5" />
                <entry name="entry6" />
        </group>

</root>

Right now, I just need someone to point me in the right direction to 
get me started.
Thanks,
/dave


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