It is correct you need to use rvest . I advice to read a more recent example like this one: Scraping CRAN with rvest to get a look at how it works.
You will find a lot of example on the net by the rstats community.
Here is the few lines to get back the table you want
library(rvest)
#> Le chargement a nécessité le package : xml2
website <- read_html("http://www.sciamachy-validation.org/klimatologie/monv/nstations.html")
tab <- website %>%
html_nodes(css = "table .onelinetable") %>%
.[[1]] %>%
html_table()
str(tab)
#> 'data.frame': 321 obs. of 6 variables:
#> $ Locatie: chr "Aalsmeer" "Aalten" "Abcoude" "Akkrum" ...
#> $ Nr : int 458 680 572 89 664 678 560 910 835 171 ...
#> $ OL : chr "4° 46'" "6° 34'" "4° 58'" "5° 49'" ...
#> $ NB : chr "52° 15'" "51° 54'" "52° 15'" "53° 3'" ...
#> $ X (km) : int 113 236 127 184 242 218 160 143 132 204 ...
#> $ Y (km) : int 475 437 475 563 485 463 445 417 422 600 ...
Created on 2017-12-12 by the reprex package (v0.1.1.9000).
html_nodes works using css or xpath selector. I look into the website code source to know how to select your table. You can use SelectorGadget following rvestCRAN vignette.
I advice on reading some ressources if you want to play further with rvest