The first thing to do is to read the whole file into a string.
You can then use String.Split to break it two parts: before the "Measuring / object data" and after.
Then, use String.Split to break it into lines, then break those into individual elements to add ad rows.
Without an actual copy of your file it's difficult to tell, but it's along the lines of:
Dim rawFile As String = File.ReadAllText(path)
Dim halves As String() = rawFile.Split("Measuring / object data")
Dim lines As String() = halves(0).Split(vbLf)
For Each line As String In lines
Dim columns As String = line.Split(";")
DataGridView1.Rows.Add(columns)
Next
lines = halves(1).Split(vbLf)
For Each line As String In lines
Dim columns As String = line.Split(";")
DataGridView1.Rows.Add(columns)
Next